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Popular >

derivative of F(x)=(3x^6+4x^3)^4

Solution

derivative of

F (x) = (3 x^{6} + 4 x^{3})^{4}

Solution

4 (3 x^{6} + 4 x^{3})^{3} (18 x^{5} + 12 x^{2})

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{6} + 4 x^{3}) = 18 x^{5} + 12 x^{2}

= 4 (3 x^{6} + 4 x^{3})^{3} (18 x^{5} + 12 x^{2})

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\int 4 sin^{3} (x) cos^{2} (x) d x

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x \to 0 + lim ((1 + x)^{\frac{4}{x}})

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\int \frac{x ^{2}}{5 - 4 x ^{2}} d x

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x \to - \infty lim (\frac{1}{9} arctan (x))

Frequently Asked Questions (FAQ)

What is the derivative of F(x)=(3x^6+4x^3)^4 ?
The derivative of F(x)=(3x^6+4x^3)^4 is 4(3x^6+4x^3)^3(18x^5+12x^2)
What is the first derivative of F(x)=(3x^6+4x^3)^4 ?
The first derivative of F(x)=(3x^6+4x^3)^4 is 4(3x^6+4x^3)^3(18x^5+12x^2)