What is the derivative of 9x^2sqrt(x)+2x^2 ?

The derivative of 9x^2sqrt(x)+2x^2 is (45x^{3/2})/2+4x

What is the first derivative of 9x^2sqrt(x)+2x^2 ?

The first derivative of 9x^2sqrt(x)+2x^2 is (45x^{3/2})/2+4x

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derivative of

9 x^{2} x + 2 x^{2}

\frac{45 x ^{\frac{3}{2}}}{2} + 4 x

Solution steps

\frac{d}{d x} (9 x^{2} x + 2 x^{2})

Simplify

9 x^{2} x + 2 x^{2} : 9 x^{\frac{5}{2}} + 2 x^{2}

= \frac{d}{d x} (9 x^{\frac{5}{2}} + 2 x^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (9 x^{\frac{5}{2}}) + \frac{d}{d x} (2 x^{2})

\frac{d}{d x} (9 x^{\frac{5}{2}}) = \frac{45 x ^{\frac{3}{2}}}{2}

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

= \frac{45 x ^{\frac{3}{2}}}{2} + 4 x

e^{- 2 t} cos (5 t)

\int \frac{1}{x ^{2} - 2 x + 26} d x

x^{^{''}} - a x = 0

x \to 0 lim (x^{2} cos (\frac{8}{x}))

What is the derivative of 9x^2sqrt(x)+2x^2 ?
The derivative of 9x^2sqrt(x)+2x^2 is (45x^{3/2})/2+4x
What is the first derivative of 9x^2sqrt(x)+2x^2 ?
The first derivative of 9x^2sqrt(x)+2x^2 is (45x^{3/2})/2+4x