1. Let f(x)=−x^2+13x+4
a.Find the derivative f '(x)
b. Find f '(−3)
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places.
f '(3)=
3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x).
f '(x)=
4. Find the derivative of the function f(x)=√x−5/x^4
f '(x)=
5. Find the derivative of the function f(x)=2x−5/3x−3
f '(x)=
6. Find the derivative of the function g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your answer.
g '(x)=
7. Let f(x)=(−x^2+x+3)^5
a. Find the derivative. f '(x)=
b. Find f '(3)=
8.
Let f(x)=(x^2−x+4)^3
a. Find the derivative. f '(x)=
b. Find f' ′(-2)=
9. Let f(x)=2x^2−4x+3/3x^2+2x+11
Evaluate f '(x)=4 rounded to 2 decimal places.
f ′(4)=
10. Let f(x)=(3x−5x^3)/(3+√x)
find f '(x)
f '(x)=
11. Find the derivative of the function f(x)=√7x+4
f '(x)=
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