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

The derivative of (x^2+7)^5 is 10x(x^2+7)^4

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

The first derivative of (x^2+7)^5 is 10x(x^2+7)^4

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derivative of

(x^{2} + 7)^{5}

10 x (x^{2} + 7)^{4}

Solution steps

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

Apply the chain rule:

5 (x^{2} + 7)^{4} \frac{d}{d x} (x^{2} + 7)

= 5 (x^{2} + 7)^{4} \frac{d}{d x} (x^{2} + 7)

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

= 5 (x^{2} + 7)^{4} \cdot 2 x

Simplify

= 10 x (x^{2} + 7)^{4}

x, x^{3} - x^{2} - x

2 sin (x), 4 cos (x), [0, 0.6 π]

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

3 y^{^{'}} + x y = 5 x

\frac{d}{d x} (x^{x^{5}})

What is the derivative of (x^2+7)^5 ?
The derivative of (x^2+7)^5 is 10x(x^2+7)^4
What is the first derivative of (x^2+7)^5 ?
The first derivative of (x^2+7)^5 is 10x(x^2+7)^4