What is the derivative of 9x^2sqrt(x)+7x^2 ?

The derivative of 9x^2sqrt(x)+7x^2 is (45x^{3/2})/2+14x

What is the first derivative of 9x^2sqrt(x)+7x^2 ?

The first derivative of 9x^2sqrt(x)+7x^2 is (45x^{3/2})/2+14x

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derivative of

9 x^{2} x + 7 x^{2}

\frac{45 x ^{\frac{3}{2}}}{2} + 14 x

Solution steps

\frac{d}{d x} (9 x^{2} x + 7 x^{2})

Simplify

9 x^{2} x + 7 x^{2} : 9 x^{\frac{5}{2}} + 7 x^{2}

= \frac{d}{d x} (9 x^{\frac{5}{2}} + 7 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} (7 x^{2})

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

\frac{d}{d x} (7 x^{2}) = 14 x

= \frac{45 x ^{\frac{3}{2}}}{2} + 14 x

(- 9, - 2), (3, - 1)

\int (2 x + 1) (x^{2} + x) d x

\frac{- 1}{s ( s - 2 )}

f (x) = 3 x (x^{2} - 4 x + 5)^{6}, at x = 2

\int \frac{e ^{u}}{( 9 - e ^{u} ) ^{2}} d u

What is the derivative of 9x^2sqrt(x)+7x^2 ?
The derivative of 9x^2sqrt(x)+7x^2 is (45x^{3/2})/2+14x
What is the first derivative of 9x^2sqrt(x)+7x^2 ?
The first derivative of 9x^2sqrt(x)+7x^2 is (45x^{3/2})/2+14x