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Popular >

derivative of 11x^{1/2}+x^{3/2}

Solution

\frac{d}{d x} (11 x^{\frac{1}{2}} + x^{\frac{3}{2}})

Solution

\frac{11}{2 x ^{\frac{1}{2}}} + \frac{3 x ^{\frac{1}{2}}}{2}

Solution steps

\frac{d}{d x} (11 x^{\frac{1}{2}} + x^{\frac{3}{2}})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (11 x^{\frac{1}{2}}) + \frac{d}{d x} (x^{\frac{3}{2}})

\frac{d}{d x} (11 x^{\frac{1}{2}}) = \frac{11}{2 x ^{\frac{1}{2}}}

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

= \frac{11}{2 x ^{\frac{1}{2}}} + \frac{3 x ^{\frac{1}{2}}}{2}

Graph

Popular Examples

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\int_{- 6}^{- 2} (- x^{2} - 8 x - 18) d x

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integral of 1/(s^2+6s+11)

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Frequently Asked Questions (FAQ)

What is the derivative of 11x^{1/2}+x^{3/2} ?
The derivative of 11x^{1/2}+x^{3/2} is (11}{2x^{1/2}}+\frac{3x^{1/2})/2
What is the first derivative of 11x^{1/2}+x^{3/2} ?
The first derivative of 11x^{1/2}+x^{3/2} is (11}{2x^{1/2}}+\frac{3x^{1/2})/2