What is the derivative of (5x+2)^7 ?

The derivative of (5x+2)^7 is 35(5x+2)^6

What is the first derivative of (5x+2)^7 ?

The first derivative of (5x+2)^7 is 35(5x+2)^6

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derivative of

(5 x + 2)^{7}

35 (5 x + 2)^{6}

Solution steps

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

Apply the chain rule:

7 (5 x + 2)^{6} \frac{d}{d x} (5 x + 2)

= 7 (5 x + 2)^{6} \frac{d}{d x} (5 x + 2)

\frac{d}{d x} (5 x + 2) = 5

= 7 (5 x + 2)^{6} \cdot 5

Simplify

= 35 (5 x + 2)^{6}

\frac{d}{d t} (t^{3} + 7 t^{2} + 24 t + 12)

d er i v a t i v e y = 3 x^{10}

d er i v a t i v e h (x) = \frac{5}{6 x ^{5}}

(sin (x^{3} - 4 x + 2))^{^{'}}

d er i v a t i v e cot^{4} (x)

What is the derivative of (5x+2)^7 ?
The derivative of (5x+2)^7 is 35(5x+2)^6
What is the first derivative of (5x+2)^7 ?
The first derivative of (5x+2)^7 is 35(5x+2)^6