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

The derivative of y=(3x-5)^4 is 12(3x-5)^3

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

The first derivative of y=(3x-5)^4 is 12(3x-5)^3

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derivative of

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

12 (3 x - 5)^{3}

Solution steps

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

Apply the chain rule:

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

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

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

= 4 (3 x - 5)^{3} \cdot 3

Simplify

= 12 (3 x - 5)^{3}

What is the derivative of y=(3x-5)^4 ?
The derivative of y=(3x-5)^4 is 12(3x-5)^3
What is the first derivative of y=(3x-5)^4 ?
The first derivative of y=(3x-5)^4 is 12(3x-5)^3