What is the derivative of y=(1-5x)^6 ?

The derivative of y=(1-5x)^6 is -30(1-5x)^5

What is the first derivative of y=(1-5x)^6 ?

The first derivative of y=(1-5x)^6 is -30(1-5x)^5

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derivative of

y = (1 - 5 x)^{6}

- 30 (1 - 5 x)^{5}

Solution steps

\frac{d}{d x} ((1 - 5 x)^{6})

Apply the chain rule:

6 (1 - 5 x)^{5} \frac{d}{d x} (1 - 5 x)

= 6 (1 - 5 x)^{5} \frac{d}{d x} (1 - 5 x)

\frac{d}{d x} (1 - 5 x) = - 5

= 6 (1 - 5 x)^{5} (- 5)

Simplify

= - 30 (1 - 5 x)^{5}

What is the derivative of y=(1-5x)^6 ?
The derivative of y=(1-5x)^6 is -30(1-5x)^5
What is the first derivative of y=(1-5x)^6 ?
The first derivative of y=(1-5x)^6 is -30(1-5x)^5