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Popular >

derivative of 1/((3-x^4))

Solution

\frac{d}{d x} (\frac{1}{( 3 - x ) ^{4}})

Solution

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

Solution steps

\frac{d}{d x} (\frac{1}{( 3 - x ) ^{4}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 - x) = - 1

= - \frac{4}{( 3 - x ) ^{5}} (- 1)

Simplify

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

Popular Examples

integral of t^3sin(t)

\int t^{3} sin (t) d t

(dy)/(dx)+2y=e^{2x}y^{-2}

\frac{d y}{d x} + 2 y = e^{2 x} y^{- 2}

y^{^{'}} + \frac{1}{x} y = 6 x^{2}

(\partial)/(\partial y)(x^2-4xy+3y^2)

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

derivative of (4x^x)

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

Frequently Asked Questions (FAQ)

What is the derivative of 1/((3-x^4)) ?
The derivative of 1/((3-x^4)) is 4/((3-x)^5)
What is the first derivative of 1/((3-x^4)) ?
The first derivative of 1/((3-x^4)) is 4/((3-x)^5)