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Popular >

derivative of (1-5x^{-2})

Solution

\frac{d}{d x} ((1 - 5 x)^{- 2})

Solution

\frac{10}{( 1 - 5 x ) ^{3}}

Solution steps

\frac{d}{d x} ((1 - 5 x)^{- 2})

Apply the chain rule:

- \frac{2}{( 1 - 5 x ) ^{3}} \frac{d}{d x} (1 - 5 x)

= - \frac{2}{( 1 - 5 x ) ^{3}} \frac{d}{d x} (1 - 5 x)

\frac{d}{d x} (1 - 5 x) = - 5

= - \frac{2}{( 1 - 5 x ) ^{3}} (- 5)

Simplify

- \frac{2}{( 1 - 5 x ) ^{3}} (- 5) : \frac{10}{( 1 - 5 x ) ^{3}}

= \frac{10}{( 1 - 5 x ) ^{3}}

Popular Examples

tangent of y=e^{3x}cos(pix),(0,1)tangent of

y = e^{3 x} cos (π x), (0, 1)

(\partial)/(\partial y)(sin(yz))

\frac{\partial}{\partial y} (sin (yz))

integral of-(2x)/((x^2-2)^3)

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

integral of (2x^2-x+3)/x

\int \frac{2 x ^{2} - x + 3}{x} d x

limit as h approaches 0 of (sin(h))/h

h \to 0 lim (\frac{sin ( h )}{h})

Frequently Asked Questions (FAQ)

What is the derivative of (1-5x^{-2}) ?
The derivative of (1-5x^{-2}) is (10)/((1-5x)^3)
What is the first derivative of (1-5x^{-2}) ?
The first derivative of (1-5x^{-2}) is (10)/((1-5x)^3)