Question

Find the derivative of the following function by first expanding the expression.\\ $h(x) = (x^2 + 8)^2$

          Find the derivative of the following function by first expanding the expression.\\
$h(x) = (x^2 + 8)^2$
        
Find the derivative of the following function by first expanding the expression.

h(x) = (x^2 + 8)^2

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find the derivative of the following function by first expanding the expression. h(x)=(x^(2)+8)^(2) Find the derivative of the following function by first expanding the expression h(x=(x2+82
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Transcript

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00:01 You want to find the derivative of f of x is equal to x to the x cubed.
00:06 So right now, super annoying that there's an x in a power and as a base.
00:13 So the way we're going to fix that is we are going to take the logarithm of both sides.
00:21 So this is log of f of x as equal to log of x to the x cubed.
00:30 What this allows us to do is use our property of property of logarithes.
00:34 For the x cubed to come down.
00:40 So this is log of f of x is equal to x cubed log of x.
00:50 And now we can take the derivative of both sides...
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