306 Answered Questions for the topic Derivatives

Derivatives Calculus

13d

#### 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...
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Derivatives Calculus

27d

#### The x-intercept of the line tangent y=ax^3-3x+b to at (2,3) is 1. Find the values of a and b.

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.

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...
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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...
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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...
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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...
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#### 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...
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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

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).

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 =...
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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....
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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...
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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?

06/08/20

#### Is it true that there is a function that is differentiable at x= -2, but not continuous at x = -2?

#### Please Help - Calculus Question

Give an example of, and explain why the example is sufficient for the following:
Functions f and g with f’(x) = g’(x), ∀x, but f(x) ≠ g(x)
A function f(x) such that f’’(x) = –f(x)
Function with a...
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Derivatives Calculus

04/13/20

#### Let f ′(x) = 3x^2+2 . Given that f(2) = 5 find f(x)

If I could get some help that would just be amazing hopefully thank you in advance!

02/16/20

#### Convert Continuous Compounding to Semiannual

An interest rate of 3.75% per year, continuously compounded, is equivalent to what annual interest rate with semiannual compounding?

Derivatives

02/14/20

#### The equation of the tangent line to the curve y=x+x−−√ at the point (49,56) is

11/04/19

#### Please help me to solve this equation and it's all about Derivatives (Basic Calculus)

This is a performance task and I don't know what to do here 😭y=sin^3(x^3+log2 X)

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