# 15 Calc Differentiation questions

*label*Mathematics

*timer*Asked: Oct 23rd, 2018

*account_balance_wallet*$25

### Question Description

1.

Which one of the following does not find the value of f ′(3) for f(x) = 3x^{2} - 4x + 1? (4 points)

2.

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

3.

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

(4 points)

4.

Find the equation of the line tangent to y = -x^{2} + 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)

Find f'(x) for f(x) = 5x^{2} − 3x + 12. (4 points)

2.

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

3.

Find the derivative for . (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) = (x^{3} + 3x^{2} + 3)(3x^{3} − 6x^{2} − 8x + 1) . Use the hyphen symbol, -, for negative values. (4 points)

If f(x) = (2x^{3} − 4)^{6}, then what is f '(x)? (4 points)

2.

Find f '(x) for . (4 points)

3.

Is the following true or false?

(4 points)

4.

Find of . (4 points)

5.

Differentiate y = sin^{2}x − cos^{2}x. (4 points)

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