What is the derivative of (5x^6+2x^3^4) ?

The derivative of (5x^6+2x^3^4) is 4(5x^6+2x^3)^3(30x^5+6x^2)

What is the first derivative of (5x^6+2x^3^4) ?

The first derivative of (5x^6+2x^3^4) is 4(5x^6+2x^3)^3(30x^5+6x^2)

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\frac{d}{d x} ((5 x^{6} + 2 x^{3})^{4})

4 (5 x^{6} + 2 x^{3})^{3} (30 x^{5} + 6 x^{2})

Solution steps

\frac{d}{d x} ((5 x^{6} + 2 x^{3})^{4})

Apply the chain rule:

4 (5 x^{6} + 2 x^{3})^{3} \frac{d}{d x} (5 x^{6} + 2 x^{3})

= 4 (5 x^{6} + 2 x^{3})^{3} \frac{d}{d x} (5 x^{6} + 2 x^{3})

\frac{d}{d x} (5 x^{6} + 2 x^{3}) = 30 x^{5} + 6 x^{2}

= 4 (5 x^{6} + 2 x^{3})^{3} (30 x^{5} + 6 x^{2})

\frac{1}{( s + 1 ) ^{5}}

n = 0 \sum \infty \frac{1}{2 ^{n + 1}}

\int (3 x^{2} - 2 x)^{3} d x

\frac{d ^{2} y}{d x ^{2}} = x^{2}

\frac{d}{d x} (4 3 x^{2} + 9)

What is the derivative of (5x^6+2x^3^4) ?
The derivative of (5x^6+2x^3^4) is 4(5x^6+2x^3)^3(30x^5+6x^2)
What is the first derivative of (5x^6+2x^3^4) ?
The first derivative of (5x^6+2x^3^4) is 4(5x^6+2x^3)^3(30x^5+6x^2)