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Find the slope of the tangent line to the graph of each function at x= -1

Find the slope of the tangent line to the graph of each function at x= -1-example-1
User Kiril
by
7.6k points

1 Answer

4 votes

Given:


f(x)=3x^3+4x^2-10x+7

Required:

To find the slope of the tangent line to the graph of each function at x= -1​.

Step-by-step explanation:

Consider the given function


f(x)=3x^3+4x^2-10x+7
f^(\prime)(x)=9x^2+8x-10

At x=-1,


\begin{gathered} f^(\prime)(-1)=9(-1)^2+8(-1)-10 \\ \\ =9-8-10 \\ \\ =-9 \end{gathered}

Final Answer:

The slope is -9.

User Matma
by
9.1k points

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