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pantera1 [17]
4 years ago
9

If f(x) = x^3 find df/dx | x= -5

Mathematics
1 answer:
asambeis [7]4 years ago
8 0

Answer:

75

Step-by-step explanation:

So we have:

f(x)=x^3

Take the derivative of the function. Use the power rule, which states that:

\frac{d}{dx}(x^n)=nx^{n-1}

Therefore:

\frac{d}{dx}[f(x)]=\frac{d}{dx}[x^3]

Use power rule:

\frac{df}{dx}=3x^2

Now, substitute in -5:

3(-5)^2

Square and multiply:

=3(25)=75

So our answer is 75.

This means that the slope of the line tangent to the point (-5,-125) on the graph x^3 is 75.

And we're done!

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