What is the derivative of f(x)=x^2sqrt(x)-5x ?

The derivative of f(x)=x^2sqrt(x)-5x is (5x^{3/2})/2-5

What is the first derivative of f(x)=x^2sqrt(x)-5x ?

The first derivative of f(x)=x^2sqrt(x)-5x is (5x^{3/2})/2-5

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derivative of

f (x) = x^{2} x - 5 x

\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

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

x^{2} - 2 x + 3

\frac{\partial}{\partial u} (v)

y = 7 x - x^{2}

f (x) = \frac{1}{1 + x ^{2}}, at x = 1

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