287 Answered Questions for the topic Derivatives

Derivatives Functions

02/01/18

#### Derivative using differentiation

Find the derivative of the function f by using the rules of differentiation.f
(x) = (5x^3 − 2x^2 + 3) / x

Derivatives Functions

02/01/18

#### Derivative of a function

Find the derivative of the function f by using the rules of differentiation.
f(x) = 3x^−8
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Derivatives

01/29/18

#### Derivative with function

Let f(x) = x^2 − 16x + 64.(a) Find the derivative f ' of f.

#### Consider the function f(x)=e^(3x)*g(x) , where g(0)=13 and g′(0)=−2 Find f′(0)

This is for my homework I need an explanation of how to do this. please

Derivatives

01/07/18

#### give an example of a continuous function which is not differentiable at x=2

I need two examples

Derivatives

12/14/17

#### Derivative of the Compound Interest Formula?

F = P(1 + r/100)^t
Assume P and r are constant, find dF/dt.

Derivatives Economics

12/04/17

#### Find the general solution of the differential equation dy/dt=t^4.

Also find the solutions which satisfy y=1 when t=0 and y=0 when t=1 and sketch them on the same axes.

Derivatives

12/03/17

#### Calculate the Derivative.

d/dt 83∫t (sec(29x+3)) dx=
On what interval is the derivative defined?

11/28/17

#### Math derivative calcular relative rates

A large snowball is melting so that it's radius is decreasing at the rate of 2 inches per hour. How fast is the volume decreasing at the moment that the radius is 3inches? HINT: volume of a sphere...
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11/10/17

#### f(x) = 3√ x · sin x use the definition of derivative to show f(x) is differentiable at x=0

this question had several parts
1)Why can't we use the product rule to compute f'(0)
My initial thought was that you cannot use the product rule t because sinx and 3√ x both equal 0 at...
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#### Write in terms of sin2x and cos2x. Find f'(x) for f(x)=tan^4(3x)

We have done this problem writing in terms of sin3x and cos3x, but never sin2x and cos2x when the equation has 3x. This is a super important problem for extra credit and I don't understand how to...
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#### Write in terms of sin2x and cos2x. Find f'(x) for f(x)=tan^4(3x)

We have done this problem writing in terms of sin3x and cos3x, but never sin2x and cos2x when the equation has 3x. This is a super important problem for extra credit and I don't understand how to...
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10/18/17

#### Suppose that a particle moves according to the law of motion s = t^2 - 11 t + 33. Use interval notation to indicate when the particle is moving in the positive

Calculus I, Derivative
t>=0

#### Calculus: Derivatives of n^x treatment?

In Calculus, are any number to the power of x treated as E^x when working with derivatives? (i.e. 10^x ... 10xln(10)

#### Find the Function

Find the function of the form f(x)=a+bcos(cx) that is tangent to the line y=1 at the point (0,1), and tangent to the line y = x + (3/2) - (pi/4) at the point (pi/4, 3/2).

09/21/17

#### Find exact equation of tangent line and normal line

find equation of tangent line and normal line given x2/25 + y2/9 = 1 with coordinates (5sqrt(2)/2, 3sqrt(2)/2)

Derivatives Tangent

09/20/17

#### Find the exact Value of c

Find the exact Value of c on f(x) = c/x so that f(x) is tangent to x2/25 + y2/9 = 1

#### Find the equation of the curve with the derivative of y with respect to x given as (2/√x)-x, passing through the point (2,1)

Hi, can anybody help me with the following question? "Find the equation of the curve with the derivative of y with respect to x given as (2/√x)-x, passing through the point (2,1)"

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