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Popular >

derivative of (x-1^2(2x+3))

Solution

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

Solution

6 x^{2} - 2 x - 4

Solution steps

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

Apply the Product Rule:

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

f = (x - 1)^{2}, g = 2 x + 3

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

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

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

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

Simplify

2 (x - 1) (2 x + 3) + 2 (x - 1)^{2} : 6 x^{2} - 2 x - 4

= 6 x^{2} - 2 x - 4

Graph

Popular Examples

integral from-3 to-1 of 1/(x^2+6x+13)

\int_{- 3}^{- 1} \frac{1}{x ^{2} + 6 x + 13} d x

integral of 1/((x+3)sqrt(x^2+6x+8))

\int \frac{1}{( x + 3 ) x ^{2} + 6 x + 8} d x

integral of (\sqrt[5]{x^4})

\int (5 x^{4}) d x

7(ln(y))y^'-x^9y=0

7 (ln (y)) y^{^{'}} - x^{9} y = 0

derivative of (f(4x))^2+5 derivative of

(f (4 x))^{2} + 5

Frequently Asked Questions (FAQ)

What is the derivative of (x-1^2(2x+3)) ?
The derivative of (x-1^2(2x+3)) is 6x^2-2x-4
What is the first derivative of (x-1^2(2x+3)) ?
The first derivative of (x-1^2(2x+3)) is 6x^2-2x-4