210 Answered Questions for the topic Derivative

#### Compute ∫ ((a cos(x))/(b sin(x) +c))dx. in terms of a,b, and c.

Compute ∫ ((a cos(x))/(b sin(x) +c))dx. in terms of a,b, and c. You may assume "b" does not equal zero. Use "+C" as a constant to indicate a family of solutions differing by a constant. ∫...
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#### Use part I of the Fundamental Theorem of Calculus to find the derivative of:

Use part I of the Fundamental Theorem of Calculus to find the derivative of: h(x) = ∫ (top of the integral symbol says "sin(x)" and bottom of integral symbol says "-3") then followed by the...
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#### How to get a derivative of a function without using the quotient, power, or chain rule?

How to compute a derivative of G(x)= (x^2 + 2x -1) / (sqrt(x))?From what I'm understanding, I have to break it up so it looks likex^2/sqrt(x) + 2x/sqrt(x) - 1/sqrt(x)And after simplifying it would...
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#### Calculus - Implicit differentiation

How would I solve this question to find dy/dx? Would I try to put each x and y variable on separate sides of the equation then product rule to find dy/dx? Any tips would be helpful. Thanks!y3 + xy...
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24d

#### Calculus - Differentiation

How would I differentiate this; Would it be quotient rule? The e in the numerator is throwing me off.f(x) = e3x / x4

Derivative Calculus

28d

#### I need to find a maximum area of trapezoid inscribed in circle. The base is diameter of the circle, (1,3) is center of the circle and radius is 4.

I need solution with using derivative.

29d

#### L'Hopitals Rule Question

Find the limit using L'Hopital's rule when needed:lim (csc x - cot x)x--->0

#### First Order Partial Derivative Only

can you tell me some real world applications of Only First Order Partial Derivative with explanation or recommend?

#### What are the derivatives of these functions?

(f(x)*g(x))/g(x)
(f(x))3
(f ° g)(x)

#### What are the derivatives of the following functions?

x2 · f(x)
4x · (f(x)+g(x))
f(x)/(g(x)+1)

05/17/20

#### Derivatives of Exp. Functions

Find the general formula for the nth derivative of f(x) = e^(2x). Using the formula, evaluate nth derivative at x = 2 or f^n(1/2). -----> I got f^n(x) = 2^(n)e^(2x) for the general formula but...
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#### Math Problem in Spanish

Una tienda ha estado vendiendo 200 reproductores de Blu-ray por semana a $350 cada uno. Un estudio de mercado indica que por cada $10 de descuento ofrecido a los compradores, el número de unidades...
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05/01/20

#### Limits and Derivation Questions

Find the slope of tangent(s) line to the graph of f(x) = x^3-x+6 from the point P(-2,8)
find the value of K so limitation exists. lim as x->3 5x^2+8x-4/x^2-3x+K

04/30/20

#### A Set of Very Difficult Limitation and Derivation Questions

Find the value of B if the graph y = b/x^2 has its tangent line defined by bx - 4y +21 = 0
Find the nth derivative f^(n) for f(x) = x/x+1
Find the value(s) of K for which lim x->3...
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04/29/20

#### Inflection Points and Constants

Hi, I'm stuck on this problem, could someone please walk me through it?Let f(x) = ax3 -bx2, where a and b are constants.A) Find all possible critical points of f in terms of a and b.B) Find all...
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04/29/20

#### Derivative and Second Derivative test

Hi, I'm stuck on this problem, could someone please walk me through it.⦁ Identify all absolute and relative extrema of the function using the Second Derivative Test. Justify your work...
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Derivative Calculus

04/24/20

#### Calculus Bathtub Question

Hello! I've been stuck on this calc problem and I could really use help:The function H=f(f) gives the height of the water, in inches, in a bathtub at time t, in minutes. . Starting with an empty...
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Derivative Calculus

04/23/20

#### calculate the 998th derivative of f(x)=sin(x^2) of f evaluated at 0.

please help, tried about everything I know and I can't get an answer.

#### Find the "N" order derivative of the following functions.

Identify the pattern and express a formula to calculate Yn:1.- f(x)= 1/(3x)22.- f(x)= log(5x)

Derivative Calculus

04/22/20

#### Calculus - local maximum and minimum

f(x) = (x + 3)(x - 2) 3 find the value(s) of x for which f has a local maximum and minimum

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