What is the derivative of (7x+6)^3 ?

The derivative of (7x+6)^3 is 21(7x+6)^2

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

The first derivative of (7x+6)^3 is 21(7x+6)^2

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derivative of

(7 x + 6)^{3}

21 (7 x + 6)^{2}

Solution steps

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

Apply the chain rule:

3 (7 x + 6)^{2} \frac{d}{d x} (7 x + 6)

= 3 (7 x + 6)^{2} \frac{d}{d x} (7 x + 6)

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

= 3 (7 x + 6)^{2} \cdot 7

Simplify

= 21 (7 x + 6)^{2}

What is the derivative of (7x+6)^3 ?
The derivative of (7x+6)^3 is 21(7x+6)^2
What is the first derivative of (7x+6)^3 ?
The first derivative of (7x+6)^3 is 21(7x+6)^2