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

The derivative of (5x^3+4^2) is 30x^2(5x^3+4)

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

The first derivative of (5x^3+4^2) is 30x^2(5x^3+4)

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 30 x^{2} (5 x^{3} + 4)

\int \frac{arctan ( x )}{1 + x ^{2}} d x

7 t \cdot \frac{d y}{d t} + 3 y = t

\int \frac{2 e ^{2 x}}{e ^{2 x} + 14 e ^{x} + 48} d x

\int t^{3} 9 t^{4} + 1 d t

\frac{d y}{d x} = 3 x^{2} (1 + y^{2})

What is the derivative of (5x^3+4^2) ?
The derivative of (5x^3+4^2) is 30x^2(5x^3+4)
What is the first derivative of (5x^3+4^2) ?
The first derivative of (5x^3+4^2) is 30x^2(5x^3+4)