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WB2.2 - Intro to Derivatives and Power Rule

Last updated over 5 years ago

8 questions

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Question 1

1.

Find the derivative of g(x)=x^{3}+2x^{2}+x+100. Evaluate this derivative at x=1.

Question 2

2.

If f(x)=x^100, find f'(x) and f'(1).

Question 3

3.

Find the tangent slope of r(x)=\frac{x}{4}-4 at x=2.

Question 4

4.

Find the normal slope of v(t)=2t^{2}+5t-2 at t=0.

Question 5

5.

\frac{d}{dx} \left( \frac{4}{x} \right). (Hint: Exponent rules)

Question 6

6.

\frac{d}{dx} \left( x^{3}+3 \right)\Bigg|_{x=3}

Question 7

7.

Find the tangent line of e at x=0.

Question 8

8.

Find the normal slope of f(x)=4x^{2}-18x+1 at x=2.