What is the derivative of f(x)=(x^4-2x)^5 ?

The derivative of f(x)=(x^4-2x)^5 is 5(x^4-2x)^4(4x^3-2)

What is the first derivative of f(x)=(x^4-2x)^5 ?

The first derivative of f(x)=(x^4-2x)^5 is 5(x^4-2x)^4(4x^3-2)

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derivative of

f (x) = (x^{4} - 2 x)^{5}

5 (x^{4} - 2 x)^{4} (4 x^{3} - 2)

Solution steps

\frac{d}{d x} ((x^{4} - 2 x)^{5})

Apply the chain rule:

5 (x^{4} - 2 x)^{4} \frac{d}{d x} (x^{4} - 2 x)

= 5 (x^{4} - 2 x)^{4} \frac{d}{d x} (x^{4} - 2 x)

\frac{d}{d x} (x^{4} - 2 x) = 4 x^{3} - 2

= 5 (x^{4} - 2 x)^{4} (4 x^{3} - 2)

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What is the derivative of f(x)=(x^4-2x)^5 ?
The derivative of f(x)=(x^4-2x)^5 is 5(x^4-2x)^4(4x^3-2)
What is the first derivative of f(x)=(x^4-2x)^5 ?
The first derivative of f(x)=(x^4-2x)^5 is 5(x^4-2x)^4(4x^3-2)