356 Answered Questions for the topic Derivatives

Derivatives

06/11/21

Box Mini Project

Paper dimensions are 8.5 inches by 11 inches You will now have to determine the length, width, and height to make an open-top box with the maximum volume possible. To do this you will have to cut... more
Derivatives Calculus Derivative

05/04/21

Find f’(2) for f(x)= 1/x-3 using the definition of the derivative

Derivatives Calculus Derivative

05/03/21

Consider the function, f(x) = √x-4 (square root goes over x-4) at the point (8,2) find the slope of the tangent line to the curve using the definition of the derivative

And find the equation of the tangent line. I am confused on how to treat the square root as I haven’t covered a question using them like this yet.
Derivatives Calculus Optimization

03/22/21

Application of Derivatives and Optimization of Volume

Using Calculus, determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 384 square centimeters. Can someone explain using derivative... more
Derivatives Calculus

02/17/21

Calculus Homework

Consider . Compute .         :               .
Derivatives Calculus

02/17/21

Calculus Homework

Consider . Compute :0  :       . 
Derivatives Calculus

02/17/21

Calculus Homework

Consider . Given , Which of the followin statements about the level curve is correct?The level curve is None of these.The level curve is      .The level curve is       .      .which of the... more
Derivatives Calculus

02/17/21

Calculus Homework

Consider  . Compute :       :    .
Derivatives Basic Calculus

01/15/21

Determine an equation of the line tangent to y=2x^2+3 that is parallel to the 8x-y+3=0.

Determine an equation of the line tangent to y=2x^2+3 that is parallel to the 8x-y+3=0.
Derivatives Math Calculus Pre Calculus

12/15/20

Calculus Challenge Question URGENT!

I need to catch my flight. I’m at the airport and I’m running late. I need to make it 1000m to get to my gate. I have two choices. I can either run or take the moving sidewalk. The moving sidewalk... more
Derivatives Calculus

12/07/20

Equation that relates the volume and height of a cone with a radius of 3

Write down an equation that relates the two quantities described. Then use implicit differentiation to obtain a relationship between the rates at which the quantities change over time. The volume V... more

11/23/20

Try and solve this: Calculus Derivative Problem...

Determine the derivative of each a & b...a.) You are given f(3) = -5, f '(3) = 6, g(3) = 4, and g'(3) = 8. Determine d/dx( f(x)/g(x) ) at x=3...b.) You are given y(9) = 4 and d/dx( ln(y) ) = -3... more
Derivatives Calculus Precalculus

11/19/20

Which of the expressions below are equivalent to u'vw +uv'w - uvw'/ w2 if u,v and w are all functions of x and a dash denotes a derivative with respect to x.

Which of the expressions below are equivalent to u'vw +uv'w - uvw'/ w2 if u,v and w are all functions of x and a dash denotes a derivative with respect to x.d/dx (uv/w)d/dx (u/vw)d/dx (1/uvw) d/dx... more
Derivatives Calculus Limits

11/19/20

Which of the following two expressions are equivalent alternatives to the definition of a derivative?

Which of the following two expressions are equivalent alternatives to the definition of a derivative?A: lim j -> 0 f(x) - f(x-j) / j B: lim j -> 0 f(x - j/2) - f(x + j/2)/ j A only B only... more
Derivatives Calculus

10/31/20

If a woman 2m tall walks from the spotlight toward the building at a speed of 0.6m/s, how fast is the length of her shadow on the building decreasing when she is 6m from the building?

The spotlight is 20 metres away. We're going through derivatives right now so so far I've tried variations of this:dx/dy = 40/((2-x)^2)@ x =640/ (14^2) - 0.6But I can't get the right answer
Derivatives Calculus Calculus Bc

09/28/20

Calculus Derivatives NEED HELP ASAP PLEASE!

Which one of the following does not find the value of f '(2) for f(x) = x2 + 3x + 1? (4 points)Answer Choices All of these find the value for f '(2).
Derivatives Calculus Integration

09/28/20

Differentiation and Integration of a difficult function

I am an expert and experienced Math and Physics professional. I thought I could use help from Math tutoring community and new ideas for solution of a difficult problem.∫.Given that y =... more
Derivatives Math Calculus Precalculus

07/26/20

Need help with two questions related to derivatives!

1.An arrow is shot upward from the edge of a cliff such that its height h (in m) above the ground at time t (where t >= 0) is given by h = -4.9t^2 + 40t + 45 , where t is the time in seconds.... more

06/09/20

Find the derivative of f(x) = (((e^x(x^2+cos(x)))/(arctan(x)ln^5(3x^4)))^4 using logarithmic differentiation

A step by step solution would be highly appreciated
Derivatives Calculus

06/08/20

True or False Questions - Calculus

State, with explanation, if the following statements are True or False. If f’(5) = 1.8 and g’(5) = 4.2 then f(x) + g(x) has slope 6 at x = 5 It is possible for y = f(x) to have an inflection point... more
Derivatives Calculus

06/08/20

Is it true that if f has an absolute minimum at c, then f ‘(c)=0?

Derivatives Calculus

06/08/20

Is it true that the derivative of (f(x))^2 is (f’(x))^2?

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