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Popular >

derivative of (x^2-1(x-1))

Solution

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

Solution

3 x^{2} - 2 x - 1

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2} - 1, g = x - 1

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

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

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

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

Simplify

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

= 3 x^{2} - 2 x - 1

Popular Examples

limit as x approaches 1 of 2x^5-7x^4+7

x \to 1 lim (2 x^{5} - 7 x^{4} + 7)

derivative of-(8(1-12x^2)/((4x^2+1)^3))

\frac{d}{d x} (- \frac{8 ( 1 - 12 x ^{2} )}{( 4 x ^{2} + 1 ) ^{3}})

derivative of f(x)=4pir^2 derivative of

f (x) = 4 π r^{2}

(\partial)/(\partial z)((-z)/(y^2+z^2))

\frac{\partial}{\partial z} (\frac{- z}{y ^{2} + z ^{2}})

integral from 0 to 1 of x^4e^{2x}

\int_{0}^{1} x^{4} e^{2 x} d x

Frequently Asked Questions (FAQ)

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