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

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

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

The first derivative of (x+1^3(x-2)) is 3(x+1)^2(x-2)+(x+1)^3

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Popular >

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

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

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

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

\frac{d}{d x} (9 x + 5)

\int sec (32 x) tan (32 x) d x

\frac{1}{x + 2}

\int \frac{7 t ^{3} + t ^{2}}{t} d t

2^{8 - x^{2}}

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