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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\frac{d}{d x} ((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}

\frac{d}{d x} (\frac{6}{x ^{2} - 9})

t an g e n t f (x) = 7 x + 4, at x = 3

\frac{d}{d x} (\frac{x ^{5} + 9}{x ^{3}})

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

a re a y = sin (x), y = cos (x), x = 0, x = 2 π

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