How do you find the slope of a

Angelina Kaufman

Angelina Kaufman

Answered question

2022-04-12

How do you find the slope of a tangent line to the graph of the function f(x)=5x3 at x=9?

Answer & Explanation

Marin Lowe

Marin Lowe

Beginner2022-04-13Added 18 answers

f(x)=5x3
We want to find f'(9), which is the slope of the tangent line at x=9.
Rewritten with a negative exponent:
f(x)=5x3
Use the power rule to differentiate:
f(x)=(3)(5)(x4)
f(x)=15x4
f(x)=15x4
Plug in 9 to find f'(9):
f(9)=15(9)4
f(9)=156561
f(9)=52187

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