What is the derivative of 7x^2-3/x+2sqrt(x) ?

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

What is the first derivative of 7x^2-3/x+2sqrt(x) ?

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

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\frac{d}{d x} (7 x^{2} - \frac{3}{x} + 2 x)

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

Solution steps

\frac{d}{d x} (7 x^{2} - \frac{3}{x} + 2 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 x^{2}) - \frac{d}{d x} (\frac{3}{x}) + \frac{d}{d x} (2 x)

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

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

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

= 14 x - (- \frac{3}{x ^{2}}) + \frac{1}{x}

Simplify

14 x - (- \frac{3}{x ^{2}}) + \frac{1}{x} : \frac{3 + x ^{\frac{3}{2}} + 14 x ^{3}}{x ^{\frac{3}{2}} x}

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

\frac{d}{d x} (\frac{x - 3}{x + 3})

x^{2} + 7

\int x^{2} 2 x - 1 d x

\frac{d x}{d t} + t^{7} x^{9} + \frac{x}{t} = 0

\frac{d ^{2}}{d x ^{2}} (cos (sin (3 θ)))

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