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Popular >

derivative of-5x^{1/2}+x^{3/2}

Solution

derivative of

- 5 x^{\frac{1}{2}} + x^{\frac{3}{2}}

Solution

- \frac{5}{2 x ^{\frac{1}{2}}} + \frac{3 x ^{\frac{1}{2}}}{2}

Solution steps

\frac{d}{d x} (- 5 x^{\frac{1}{2}} + x^{\frac{3}{2}})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (5 x^{\frac{1}{2}}) + \frac{d}{d x} (x^{\frac{3}{2}})

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

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

= - \frac{5}{2 x ^{\frac{1}{2}}} + \frac{3 x ^{\frac{1}{2}}}{2}

Graph

Popular Examples

integral of \sqrt[3]{x}+1/(sqrt(x))

\int 3 x + \frac{1}{x} d x

inverse oflaplace (s^2-1)/(s(s+2)(s-3))inverse laplace

\frac{s ^{2} - 1}{s ( s + 2 ) ( s - 3 )}

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\frac{d}{d x} (- e^{x y})

area y=x^3-x,y=0 area

y = x^{3} - x, y = 0

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x = - 2, x = 2, y = 8 x, y = x^{2} - 9

Frequently Asked Questions (FAQ)

What is the derivative of-5x^{1/2}+x^{3/2} ?
The derivative of-5x^{1/2}+x^{3/2} is -5/(2x^{1/2)}+(3x^{1/2})/2
What is the first derivative of-5x^{1/2}+x^{3/2} ?
The first derivative of-5x^{1/2}+x^{3/2} is -5/(2x^{1/2)}+(3x^{1/2})/2