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

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

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

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

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

3 (1 + x)^{2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 3 (1 + x)^{2}

\int \frac{e ^{- x}}{e ^{x} - 1} d x

y^{^{'}} = - \frac{4 t}{y}

x \to - 1 lim (\frac{x ^{2} - 5}{1 - x})

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

\int (1 + sin (x))^{2} d x

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