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Popular >

derivative of y= 1/((x+1)^2)

Solution

derivative of

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

Solution

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

Solution steps

\frac{d}{d x} (\frac{1}{( x + 1 ) ^{2}})

Apply exponent rule:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (x + 1) = 1

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

Simplify

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

Popular Examples

(\partial)/(\partial x)((9xz)/(x+y))

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integral of (x^2-6x-17)/((x-1)^2(x^2+1))

\int \frac{x ^{2} - 6 x - 17}{( x - 1 ) ^{2} ( x ^{2} + 1 )} d x

integral from 0 to 3 of (9-x^2)

\int_{0}^{3} (9 - x^{2}) d x

(\partial)/(\partial x)(3sqrt(xy^2+9x))

\frac{\partial}{\partial x} (3 x y^{2} + 9 x)

f(x)=x*sqrt(2x+2)

f (x) = x \cdot 2 x + 2

Frequently Asked Questions (FAQ)

What is the derivative of y= 1/((x+1)^2) ?
The derivative of y= 1/((x+1)^2) is -2/((x+1)^3)
What is the first derivative of y= 1/((x+1)^2) ?
The first derivative of y= 1/((x+1)^2) is -2/((x+1)^3)