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Popular >

derivative of g(x)=(4x^3+6x^2)^5

Solution

derivative of

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Popular Examples

d/(dθ)(2sin^2(θ))

\frac{d}{d θ} (2 sin^{2} (θ))

derivative of (ax-b(cx^2))

\frac{d}{d x} ((a x - b) (c x^{2}))

limit as x approaches-infinity of ((x^{-1}+x^{-4}))/(x^{-2)-x^{-3}}

x \to - \infty lim (\frac{( x ^{- 1} + x ^{- 4} )}{x ^{- 2} - x ^{- 3}})

integral of sin(ln(9x))

\int sin (ln (9 x)) d x

\frac{d y}{d x} + 2 y = 5

Frequently Asked Questions (FAQ)

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