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

The derivative of (x^3+3^5) is 15x^2(x^3+3)^4

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

The first derivative of (x^3+3^5) is 15x^2(x^3+3)^4

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int \frac{1}{( x + 4 ) x ^{2} + 8 x + 12} d x

\frac{d}{d x} (\frac{x ^{4}}{2})

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\frac{d}{d x} (- 7 e^{x})

\frac{d}{d s} (\frac{6}{( s - 2 ) ^{2} + 36})

What is the derivative of (x^3+3^5) ?
The derivative of (x^3+3^5) is 15x^2(x^3+3)^4
What is the first derivative of (x^3+3^5) ?
The first derivative of (x^3+3^5) is 15x^2(x^3+3)^4