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Popular >

derivative of x^2sqrt(x)-5x

Solution

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

Solution

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

Solution steps

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

Simplify

x^{2} x - 5 x : x^{\frac{5}{2}} - 5 x

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (5 x) = 5

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

Popular Examples

area y=2-e^x,y=10e^{-x}-5 area

y = 2 - e^{x}, y = 10 e^{- x} - 5

derivative of f(x)=(ln(4))/3 e^x derivative of

f (x) = \frac{ln ( 4 )}{3} e^{x}

derivative of y=(5x-2)/(sqrt(x))derivative of

y = \frac{5 x - 2}{x}

tangent of 8x^{-2}tangent of

8 x^{- 2}

integral of-sqrt(x)

\int - x d x

Frequently Asked Questions (FAQ)

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