- #1

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## Homework Statement

Find the derivative of the following:

## Homework Equations

Y= x^3(5x-1)^4

## The Attempt at a Solution

4(3x^2(5x-1)^3)(4(3x^2(3(5x-1)^2)(2(5x-1)(5)

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- Thread starter jtt
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- #1

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Find the derivative of the following:

Y= x^3(5x-1)^4

4(3x^2(5x-1)^3)(4(3x^2(3(5x-1)^2)(2(5x-1)(5)

- #2

Dick

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That doesn't look like the chain rule to me. Apply the product rule first.

- #3

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- #4

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So you'll first need to apply the product rule... as you do you'll need the derivative of g.

[itex] g(x) = P\circ L (x) = P( L(x))[/itex] where [itex] P(x) = x^4[/itex] and [itex] L(x)=5x - 1[/itex]. As a composition you need to apply the chain rule. (P for power, L for linear).

If you'd rather use the Leibniz notation form of the chain rule: [itex]\frac{du}{dx} = \frac{du}{dv} \frac{dv}{dx}[/itex] then let u=g(x) = P(v) with v = L(x).

- #5

Dick

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