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Popular >

derivative of (1+sqrt(x)^3)

Solution

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

Solution

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

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) = \frac{1}{2 x}

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

Simplify

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

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

Popular Examples

integral from 1 to 3 of (x^2+7)/(4x-x^2)

\int_{1}^{3} \frac{x ^{2} + 7}{4 x - x ^{2}} d x

(\partial)/(\partial x)(2xye^{-x^2-y^2})

\frac{\partial}{\partial x} (2 x y e^{- x^{2} - y^{2}})

derivative of 6sec(xtan(x))

\frac{d}{d x} (6 sec (x) tan (x))

integral from 0 to infinity of e^{x/3}

\int_{0}^{\infty} e^{\frac{x}{3}} d x

x^2(dy)/(dx)+4xy-y^3=0

x^{2} \frac{d y}{d x} + 4 x y - y^{3} = 0

Frequently Asked Questions (FAQ)

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