356 Answered Questions for the topic Derivatives

Derivatives Differentiation Ib

02/19/15

Derivatives of ex and ln x

An example in my textbook goes as follows: f(x)=ln e3x     = 3x f'(x) = 3   I understand that the derivative of 3x is 3, that the derivative of ex is ex, ,and that the derivative of ln x is 1... more
Derivatives

02/10/15

Find the derivative

[(x2+2x-3)÷(x3-7)] +x4
Derivatives

02/05/15

Find the following derivatives using the definition of the derivative

(a) (x+1)/(x-1) (b) √2x+1 (c) (1)/(x2)
Derivatives Calculus 1

02/03/15

Find Derivative using definition of derivative

a.) (x+1)/(x-1) b.) √(2x+1) c.) 1/x^2

01/31/15

Related Rates

A lighthouse is located on a small island 3km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute.   How fast is the beam of light moving along... more
Derivatives Math Differentiation Ib

01/26/15

Derivative

Find the derivative of f(x) = x2e–x I've managed some of the question but am having trouble finishing it. Can someone please explain?

01/25/15

Derivative

Find the derivative of f(x)=xsquared(2x-3)to power of 4   sorry i couldn't write the powers out on my phone. Can someone please explain the question?
Derivatives Word Problem Help

12/28/14

A waterskier skis over the ramp (with a base of 5 m and a height of 1 m) at a speed of 12 m/s. How fast is she rising as she leaves the ramp?

I am having trouble with this question as I do not understand how I would apply derivatives to this question. What is the process/steps for solving this word problem? Thank you very much!
Derivatives

12/25/14

integration

2. Relate the process of integration to the area under a curve and state the function of the constant of integration. With and illustration, determine the integral of a simple algebraic expression
Derivatives

12/25/14

differentiation

1. Explain why the first order differential equates to zero for maximum and minimum value of a variable. With and illustration determine the maximum and minimum values of two related variables

12/22/14

Differential Calculus

I asked a question earlier about open and closed intervals, so why did my teacher say this was wrong?    Determine any values of c in the interval [0,2pi] for which f'(x) = 0.   f(x) = cos... more

12/14/14

How to find the area under multiple curves

I have a problem here that involves three equations. It wants to know the total area that is bounded by these three equations. they are as follows: y=x y=7 y=x2/28 The domain is [0,14] I know... more
Derivatives Integrals Area Integration

12/14/14

How to find total area of a region

We have a parabola whose formula is y=5sin^2x and is bounded at the top by the line y=5. It is shaded under the y=5 line between x=pi/2 and x=3pi/2. How do I find the area of this shaded... more
Derivatives Math Calculus Calculus 1

11/29/14

where does f(x)=sinx+cosx have horizontal tangent lines?

How can you find out how many tangent lines this function has and what they are?
Derivatives

11/24/14

find derivative

#14.  y=ln(6x+7)^1/5   #26. y=6ln(x^4-2)   #30. 7e^4√x+8   #32.f(x)= 8+9x ln x   #34.y=ln √x^2-5
Derivatives

11/24/14

find the derivative

  Find the derivative.                   ______ #3. y=ln √x^2+5   #5. y=ln(5x^3-6x)-9x   #7. y=4e^6x^2-4   #8. y=ln(3x+5)   #10.y=1-9e^-x^3   #18. f(x)=x^-7-5e^x

11/23/14

double derivative y^3-xy=5 PLEASE HELP!!!

i just cant get why i got this wrong and i cant find the answer online, please tell me the answer and how to do this step by step, thank you so much!!
Derivatives

11/22/14

What would be a quartic equation whose first and second derivatives factor

Non zeros
Derivatives

11/17/14

a square sheet of cardbord with 18 inch sides will br made into a box by cutting equal sized aquares from each corner & folding the 4 sides up.

What are the dimentions of the box with largest volume
Derivatives

11/17/14

which point on the graph of y= square root of x is closest to the point (7,0)

PLease help om stuck on this

11/16/14

Having trouble calculating concave up and concave down?

Here is the question I am having trouble withL   Calculate the second derivative of f. Find where f is concave up, concave down, and has inflection points. f(x)= (3x^2) / (x^2 + 49)?*I figured... more
Derivatives

11/13/14

Help w/ dy/dt

Find y(t) using the following information.dy/dt= t^5 + 6e^t ; y(0) = 12
Derivatives Calculus

11/11/14

equation that relates the surface area S and height h of a cylinder with a fixed radius of 2 units.use implicit differentiation

Write down an equation that relates the surface area S and height h of a cylinder with a fixed radius of 2 units. Then use implicit differentiation to obtain a relationship between the rates at... more
Derivatives Math Calculus

11/06/14

Use derivatives to find the x-values of any critical points and inflection points of the function f(x)=e^(-x^2)

Use derivatives to find the x-values of any critical points and inflection points of the function f(x)=e^(-x^2)
Derivatives Math Calculus

11/05/14

Find the equation of the tangent line to the follow curve at the indicated points. y^2=(x^2/(xy-4)) at (4,2)

Find the equation of the tangent line to the follow curve at the indicated points. y^2=(x^2/(xy-4)) at (4,2) Back of my textbook states that the answer is y=2

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