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

The derivative of y=(5x-2)^3 is 15(5x-2)^2

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

The first derivative of y=(5x-2)^3 is 15(5x-2)^2

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derivative of

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

15 (5 x - 2)^{2}

Solution steps

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

Apply the chain rule:

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

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

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

= 3 (5 x - 2)^{2} \cdot 5

Simplify

= 15 (5 x - 2)^{2}

\frac{x - 7}{x + 7}

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\int 2 sin (x) + 2 x^{2} + 5 x + 1 d x

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

\int \frac{81 + x ^{2}}{x} d x

What is the derivative of y=(5x-2)^3 ?
The derivative of y=(5x-2)^3 is 15(5x-2)^2
What is the first derivative of y=(5x-2)^3 ?
The first derivative of y=(5x-2)^3 is 15(5x-2)^2