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

The derivative of (3x+5)^7 is 21(3x+5)^6

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

The first derivative of (3x+5)^7 is 21(3x+5)^6

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derivative of

(3 x + 5)^{7}

21 (3 x + 5)^{6}

Solution steps

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

Apply the chain rule:

7 (3 x + 5)^{6} \frac{d}{d x} (3 x + 5)

= 7 (3 x + 5)^{6} \frac{d}{d x} (3 x + 5)

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

= 7 (3 x + 5)^{6} \cdot 3

Simplify

= 21 (3 x + 5)^{6}

What is the derivative of (3x+5)^7 ?
The derivative of (3x+5)^7 is 21(3x+5)^6
What is the first derivative of (3x+5)^7 ?
The first derivative of (3x+5)^7 is 21(3x+5)^6