What is the derivative of (x^2+5^3) ?

The derivative of (x^2+5^3) is 6x(x^2+5)^2

What is the first derivative of (x^2+5^3) ?

The first derivative of (x^2+5^3) is 6x(x^2+5)^2

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\frac{d}{d x} ((x^{2} + 5)^{3})

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

Solution steps

\frac{d}{d x} ((x^{2} + 5)^{3})

Apply the chain rule:

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

= 3 (x^{2} + 5)^{2} \frac{d}{d x} (x^{2} + 5)

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

= 3 (x^{2} + 5)^{2} \cdot 2 x

Simplify

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

\frac{d}{d t} (3 e^{2 t})

\int cos^{2} (2 a θ) d θ

\frac{\partial}{\partial x} (5 \cdot (x - 4) \cdot y^{3})

\frac{d}{d x} ((2 x - 1)^{\frac{1}{2}})

\int \frac{3}{5 x ^{2} + 5} d x

What is the derivative of (x^2+5^3) ?
The derivative of (x^2+5^3) is 6x(x^2+5)^2
What is the first derivative of (x^2+5^3) ?
The first derivative of (x^2+5^3) is 6x(x^2+5)^2