What is the derivative of (5-7x)^3 ?

The derivative of (5-7x)^3 is -21(5-7x)^2

What is the first derivative of (5-7x)^3 ?

The first derivative of (5-7x)^3 is -21(5-7x)^2

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derivative of

(5 - 7 x)^{3}

- 21 (5 - 7 x)^{2}

Solution steps

\frac{d}{d x} ((5 - 7 x)^{3})

Apply the chain rule:

3 (5 - 7 x)^{2} \frac{d}{d x} (5 - 7 x)

= 3 (5 - 7 x)^{2} \frac{d}{d x} (5 - 7 x)

\frac{d}{d x} (5 - 7 x) = - 7

= 3 (5 - 7 x)^{2} (- 7)

Simplify

= - 21 (5 - 7 x)^{2}

What is the derivative of (5-7x)^3 ?
The derivative of (5-7x)^3 is -21(5-7x)^2
What is the first derivative of (5-7x)^3 ?
The first derivative of (5-7x)^3 is -21(5-7x)^2