What is the derivative of (5x^3+2)^4 ?

The derivative of (5x^3+2)^4 is 60x^2(5x^3+2)^3

What is the first derivative of (5x^3+2)^4 ?

The first derivative of (5x^3+2)^4 is 60x^2(5x^3+2)^3

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derivative of

(5 x^{3} + 2)^{4}

60 x^{2} (5 x^{3} + 2)^{3}

Solution steps

\frac{d}{d x} ((5 x^{3} + 2)^{4})

Apply the chain rule:

4 (5 x^{3} + 2)^{3} \frac{d}{d x} (5 x^{3} + 2)

= 4 (5 x^{3} + 2)^{3} \frac{d}{d x} (5 x^{3} + 2)

\frac{d}{d x} (5 x^{3} + 2) = 15 x^{2}

= 4 (5 x^{3} + 2)^{3} \cdot 15 x^{2}

Simplify

= 60 x^{2} (5 x^{3} + 2)^{3}

x \to - \infty lim ((1 + \frac{3}{x})^{\frac{x}{4}})

\int \frac{( ln ( x ^{2} ) )}{x} d x

h (t) = (t + 5)^{\frac{2}{3}} (3 t^{2} - 1)^{3}

y = sin (4 x)

\int (cos (x))^{3} sin (x) d x

What is the derivative of (5x^3+2)^4 ?
The derivative of (5x^3+2)^4 is 60x^2(5x^3+2)^3
What is the first derivative of (5x^3+2)^4 ?
The first derivative of (5x^3+2)^4 is 60x^2(5x^3+2)^3