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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derivative of

(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}

y^{^{''}} + 3 y^{^{'}} = 12

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

x \frac{d y}{d x} - 3 y = 0

x \to 4 + lim (\frac{x - 4}{4 x - 4})

\int \frac{t ^{4}}{1 - t ^{10}} d t

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