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Popular >

derivative of (1/2 x^5)

Solution

\frac{d}{d x} ((\frac{1}{2} x)^{5})

Solution

\frac{5 x ^{4}}{32}

Solution steps

\frac{d}{d x} ((\frac{1}{2} x)^{5})

Apply the chain rule:

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

= 5 (\frac{1}{2} x)^{4} \frac{d}{d x} (\frac{1}{2} x)

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

= 5 (\frac{1}{2} x)^{4} \frac{1}{2}

Simplify

5 (\frac{1}{2} x)^{4} \frac{1}{2} : \frac{5 x ^{4}}{32}

= \frac{5 x ^{4}}{32}

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x \to \infty lim ((x)^{\frac{l n ( 2 )}{1 + l n ( x )}})

derivative of f(x)=(100)/((1+5x)^3)derivative of

f (x) = \frac{100}{( 1 + 5 x ) ^{3}}

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\int x^{3} + sin (x) + cos (x) d x

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\int e^{8 x} sin (9 x) d x

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Frequently Asked Questions (FAQ)

What is the derivative of (1/2 x^5) ?
The derivative of (1/2 x^5) is (5x^4)/(32)
What is the first derivative of (1/2 x^5) ?
The first derivative of (1/2 x^5) is (5x^4)/(32)