What is the derivative of (5x-2x^4)^3 ?

The derivative of (5x-2x^4)^3 is 3(5x-2x^4)^2(5-8x^3)

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

The first derivative of (5x-2x^4)^3 is 3(5x-2x^4)^2(5-8x^3)

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derivative of

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

3 (5 x - 2 x^{4})^{2} (5 - 8 x^{3})

Solution steps

\frac{d}{d x} ((5 x - 2 x^{4})^{3})

Apply the chain rule:

3 (5 x - 2 x^{4})^{2} \frac{d}{d x} (5 x - 2 x^{4})

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

\frac{d}{d x} (5 x - 2 x^{4}) = 5 - 8 x^{3}

= 3 (5 x - 2 x^{4})^{2} (5 - 8 x^{3})

(x^{- 2})^{^{'}}

\int_{2}^{3} \frac{1}{x} d x

\int (6 x^{2} - 3 x + 3) d x

\frac{d}{d x} (cos (2 - 3 x))

\frac{d y}{d t} + e^{t} y = e^{t}

What is the derivative of (5x-2x^4)^3 ?
The derivative of (5x-2x^4)^3 is 3(5x-2x^4)^2(5-8x^3)
What is the first derivative of (5x-2x^4)^3 ?
The first derivative of (5x-2x^4)^3 is 3(5x-2x^4)^2(5-8x^3)