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

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

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

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

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

10 x (x^{2} + 5)^{4}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 10 x (x^{2} + 5)^{4}

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