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

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

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

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

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

3 (x + 1)^{2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 3 (x + 1)^{2}

\int cos^{2} (8 x) d x

\int θ^{2} d θ

n = 1 \sum \infty (- 1)^{n} n^{2}

\int \frac{5 x ^{2} - 9}{x ^{3} - 9 x} d x

f (x) = \frac{x - 5}{x + 5}

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