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Derivative Math Calculus

03/10/22

Determine the value of the constant a if the graph of y = 1/ax+2 has the tangent 3x + 4y − 2 = 0 at the point (0,1/2).

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03/09/22

Finding Marginal Revenue, Marginal Cost, and Marginal Profit with Cost Function.

A gizmo is sold for $28 per item. Suppose that the number of items produced is equal to the number of items sold and that the cost (in dollars) of producing 𝑥 gizmos is given by the following... more

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Derivative Calculus

03/08/22

How would you determine the unsimplified derivatives of these two questions?

a) y= (3x^2-x)(2x^3-3) ——————— 2x-5 b) y= (x^2-1)^2(x^3-5)^2 ——————— -2x^2+1i believe I would use the power/product/chain rule combo however I’m unsure of... more

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Derivative Calculus

03/08/22

How would I find the equation of the tangent to the curve below when the slope of the tangent is 4?

Given: y= 2x - 8/xthanks

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Derivative Calculus

03/08/22

How would I determine the equation to the tangent below when x=8?

given: y=6 3√x (x-6)

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Derivative Calculus

03/08/22

Determine the points on the curve below where the tangent is horizontal

Curve: y=2x^3 + 15x^2 - 84x + 12how would I go about answering this?

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Derivative Calculus

03/07/22

Determine unsimplified and simplified derivatives of the following.

Determine unsimplified derivatives: y=3x^2 + 3√x - 5/x^2 y=(x^2-x)(√x) y=-6/4√3x Determine simplified derivative: y=(2x^2-1)^4 (3x^2+1)^2

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Derivative Calculus

03/07/22

How do I go about answering this?

Given y=2z2 - 1 and z=-4/x find dy/dx when x=2?

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Derivative Calculus Equation Of The Normal

03/07/22

Determining equation to the normal

How would I determine the equation to the normal to the curve y=√5x when x=20?

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Derivative Calculus Trigonometry Trig

03/06/22

Calculus, horizontal tangent

For what values of x does the graph of f have a horizontal tangent? F(x)=x + 2sinxTake the derivative and set it equal to zero, right? I got f'=1+2cosx and set it equal to zero and got x=2pi/3, but... more

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Derivative Calculus

02/24/22

Find dy for the given values of x and Delta x .

y=Sqrt[2x+5] x=1; delta X=0.13What is the derivative of y=Sqrt[2x+5]?

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Derivative Calculus

02/21/22

use the definition of a derivative to find f ' (x)

use the definition of a derivative to find f ' (x)1.f(x)=√ x−62.f(x)= x+1/x

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Derivative Calculus

02/11/22

Use the Fundamental Theorem of Calculus to find the derivative of the function. Simplify answer. g(x)=\int_(-3x )^(4x) (5t-6t^(2))dt

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Derivative Calculus Differential Equations

01/30/22

Use implicit differentiation to find dy/dx. 5+2y^3=4x^2y^3+10x^2

When I calculated the problem, I got x'=(6x^2-3)y^2/4xy^3+10x

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Derivative Functions Derivative Of A Function

01/07/22

The bottom of a cuboid is a square. What must be the dimensions of the cuboid for it to have the largest volume? cuboids the sum of the area of one bottom and the area of the side is 108 cm2

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Derivative Calculus

12/07/21

I need help optimizing this function. Lots of big numbers that confuse me.

937 * (2520x)0.75 + 749 (2520-2520x)0.75 - 106760Optimize this function. I know you have to take the derivative and then set that equal to zero and solve for x but I dont understand how to do this... more

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Derivative Math Calculus

12/03/21

Second fundamental thereom of calculus

Use the chain rule to calculate f(x)=d/dx intergral with lower bound of 0 and upper bound of x^6 of ln(1+t^4) dt. Please help I have no idea to where even begin for this problem.

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Derivative Calculus

11/22/21

Calculus, Derivative By Definition

Locate the derivative of the function f(x)=( x²+1)/x applying the definition of derivative only. Then verify your result using the quotient rule of differentiation and the formula for the... more

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Derivative Calculus

11/18/21

Calculus 1 Problem

Find (f^-1)(a)F(x)= x - 6/x , x<0 , a=1Find (f^-1)(a)F(x)=tan^-1(x) + 8x^2, a=0

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Derivative Calculus Volume Limits Of A Function

11/18/21

Find the dimensions of the box that minimize cost.

You are constructing a box for your cat to sleep in. The plush material for the square bottom of the box costs $5/ft2 and the material for the sides costs $2/ft2. You need a box with volume 4 ft2.... more

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Derivative Calculus Volume Limits Of A Function

11/17/21

Find the dimensions of the box that minimize cost.

You are constructing a box for your cat to sleep in. The plush material for the square bottom of the box costs $5/ft2 and the material for the sides costs $2/ft2. You need a box with volume 4 ft2.... more

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Derivative Math Calculus

11/17/21

Find the antiderivative

Consider the function f(t) = 4sec2(t) − 9t3Let F(t) be the antiderivative of f(t) with F(0) = 0 Then F(t) =

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Derivative Calculus Functions Mathematics

11/17/21

A function f(x) and interval [a,b] are given. Check if the Mean Value Theorem can be applied to f on [a,b].

A function f(x) and interval [a,b] are given. Check if the Mean Value Theorem can be applied to f on [a,b]. If so, find all values c in [a,b] guaranteed by the Mean Value Theoremf(x) = √ (9 - x2) ... more

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Derivative Calculus Algebra Functions

11/17/21

Determine the intervals on which the given function is concave up or down and find the point of inflection

Determine the intervals on which the given function is concave up or down and find the point of inflection. Let f(x) = x(x−4√x)The x-coordinate of the point of inflection is: ____The interval... more

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Derivative Calculus Volume Limits Of A Function

11/17/21

Find the dimensions of the box that minimize cost.

You are constructing a box for your cat to sleep in. The plush material for the square bottom of the box costs $5/ft2 and the material for the sides costs $2/ft2. You need a box with volume 4 ft2.... more

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Answers •1

Determine the value of the constant a if the graph of y = 1/ax+2 has the tangent 3x + 4y − 2 = 0 at the point (0,1/2).

Finding Marginal Revenue, Marginal Cost, and Marginal Profit with Cost Function.

How would you determine the unsimplified derivatives of these two questions?

How would I find the equation of the tangent to the curve below when the slope of the tangent is 4?

How would I determine the equation to the tangent below when x=8?

Determine the points on the curve below where the tangent is horizontal

Determine unsimplified and simplified derivatives of the following.

How do I go about answering this?

Determining equation to the normal

Calculus, horizontal tangent

Find dy for the given values of x and Delta x .

use the definition of a derivative to find f ' (x)

Use the Fundamental Theorem of Calculus to find the derivative of the function. Simplify answer. g(x)=\int_(-3x )^(4x) (5t-6t^(2))dt

Use implicit differentiation to find dy/dx. 5+2y^3=4x^2y^3+10x^2

The bottom of a cuboid is a square. What must be the dimensions of the cuboid for it to have the largest volume? cuboids the sum of the area of ​​one bottom and the area of ​​the side is 108 cm2

I need help optimizing this function. Lots of big numbers that confuse me.

Second fundamental thereom of calculus

Calculus, Derivative By Definition

Calculus 1 Problem

Find the dimensions of the box that minimize cost.

Find the dimensions of the box that minimize cost.

Find the antiderivative

A function f(x) and interval [a,b] are given. Check if the Mean Value Theorem can be applied to f on [a,b].

Determine the intervals on which the given function is concave up or down and find the point of inflection

Find the dimensions of the box that minimize cost.

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The bottom of a cuboid is a square. What must be the dimensions of the cuboid for it to have the largest volume? cuboids the sum of the area of one bottom and the area of the side is 108 cm2