15 Calc Differentiation questions

Anonymous
timer Asked: Oct 23rd, 2018
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Question Description

1.

Which one of the following does not find the value of f ′(3) for f(x) = 3x2 - 4x + 1? (4 points)

2.

Use your graphing calculator to find the value of f ′(0) for f(x) = sin(x) + ex. (4 points)

3.

How do Curves A and B compare to each other with respect to f and f ′?

Graph A increases from the left to cross the x axis near 0.6. Graph B is increasing from left to right, crossing the x axis at about 0.2, then crossing the y axis around 1, decreases to cross the x axis around 0.8 and then increasing, crossing the x axis around 1 (4 points)

4.

Find the equation of the line tangent to y = -x2 + 3x + 8 at x = 2. (4 points)

5.

If f(x) = 2a|3x - 9| - ax, where a is some constant not equal to zero, find f ′(3). (4 points)

1.

Find f'(x) for f(x) = 5x2 − 3x + 12. (4 points)

2.

Find f '(−3), if f(x) = (2x2 − 7x)(−x2 − 7). Round your answer to the nearest integer. Use the hyphen symbol, -, for negative values. (4 points)

3.

Find the derivative dy over dx for y equals the quotient of the quantity x squared minus 2 times x and the quantity x cubed plus 3. . (4 points)

4.

If f and g are differentiable functions for all real values of x such that f(2) = 5, g(2) = 3, f '(2) = 1, g '(2) = −2, then find h '(2) if h(x) = f(x) g(x). (4 points)

5.

Find the coefficient of the squared term in the simplified form for the second derivative, f "(x) for f(x) = (x3 + 3x2 + 3)(3x3 − 6x2 − 8x + 1) . Use the hyphen symbol, -, for negative values. (4 points)


1.

If f(x) = (2x3 − 4)6, then what is f '(x)? (4 points)

2.

Find f '(x) for f of x equals the square root of the quantity cosine of 6 times x . (4 points)

3.

Is the following true or false?

the second derivative of the quantity x squared times the cosine of x equals 2 times cosine x minus 4 times x times sine of x minus x squared times cosine x (4 points)

4.

Find dy dx of y equals the secant of the square root of x . (4 points)

5.

Differentiate y = sin2x − cos2x. (4 points)

Tutor Answer

vmohanakumar
School: Cornell University

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Anonymous
awesome work thanks

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