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Popular >

derivative of (-2x^3-4^{-4})

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

derivative of f(x)=(2x+8x^2)/((1+8x)^2)derivative of

f (x) = \frac{2 x + 8 x ^{2}}{( 1 + 8 x ) ^{2}}

sum from n=0 to infinity of 1/(n^1)

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

y^{''}+8y^'+15y=4

y^{^{''}} + 8 y^{^{'}} + 15 y = 4

tangent of y=(4x)/(x^2-5),(3,3)tangent of

y = \frac{4 x}{x ^{2} - 5}, (3, 3)

integral of 4e^x-5/x

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

Frequently Asked Questions (FAQ)

What is the derivative of (-2x^3-4^{-4}) ?
The derivative of (-2x^3-4^{-4}) is -(3x^2)/(4(x^3+2)^5)
What is the first derivative of (-2x^3-4^{-4}) ?
The first derivative of (-2x^3-4^{-4}) is -(3x^2)/(4(x^3+2)^5)