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Popular >

derivative of sqrt((x-4^3))

Solution

\frac{d}{d x} ((x - 4)^{3})

Solution

\frac{3 x - 4}{2}

Solution steps

\frac{d}{d x} ((x - 4)^{3})

Apply the chain rule:

\frac{1}{2 ( x - 4 ) ^{3}} \frac{d}{d x} ((x - 4)^{3})

= \frac{1}{2 ( x - 4 ) ^{3}} \frac{d}{d x} ((x - 4)^{3})

\frac{d}{d x} ((x - 4)^{3}) = 3 (x - 4)^{2}

= \frac{1}{2 ( x - 4 ) ^{3}} \cdot 3 (x - 4)^{2}

Simplify

\frac{1}{2 ( x - 4 ) ^{3}} \cdot 3 (x - 4)^{2} : \frac{3 x - 4}{2}

= \frac{3 x - 4}{2}

Popular Examples

derivative of f(x)=(log_{9}(x))/(7+x^9)derivative of

f (x) = \frac{lo g _{9} ( x )}{7 + x ^{9}}

derivative of g(x)=9e^xsqrt(x)derivative of

g (x) = 9 e^{x} x

derivative of (x^2/(1+2tan(x)))

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

(\partial)/(\partial x)((x-y)/(3xy+2))

\frac{\partial}{\partial x} (\frac{x - y}{3 x y + 2})

integral of (2+ln(x))/(xln(x))

\int \frac{2 + ln ( x )}{x ln ( x )} d x

Frequently Asked Questions (FAQ)

What is the derivative of sqrt((x-4^3)) ?
The derivative of sqrt((x-4^3)) is (3sqrt(x-4))/2
What is the first derivative of sqrt((x-4^3)) ?
The first derivative of sqrt((x-4^3)) is (3sqrt(x-4))/2