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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\frac{\partial}{\partial x} (2 x - 5 y + 3)

\frac{d}{d x} (6 e^{- 4 x} ln (x))

n = 1 \sum \infty (\frac{7}{6})^{n}

x y - 2 y + x y^{^{'}} - y^{^{'}} = 0

(4, - 1), (- 9, - 10)

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