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Popular >

derivative of 3/(2x^2)+2\sqrt[5]{x^3}

Solution

derivative of

Solution

- \frac{3}{x ^{3}} + \frac{6 x ^{2}}{5 ( x ^{3} ) ^{\frac{4}{5}}}

Solution steps

Apply the Sum/Difference Rule:

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

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

= - \frac{3}{x ^{3}} + \frac{6 x ^{2}}{5 ( x ^{3} ) ^{\frac{4}{5}}}

Popular Examples

(\partial)/(\partial x)(4x^3y^3+4)

\frac{\partial}{\partial x} (4 x^{3} y^{3} + 4)

tangent of f(x)=4x^3-42x^2+146x+48 tangent of

f (x) = 4 x^{3} - 42 x^{2} + 146 x + 48

d/(dt)(4sin(2t))

\frac{d}{d t} (4 sin (2 t))

integral of (3x)/((x^2+5)^2)

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

derivative of (11-11x/(7x^{3/7)})

\frac{d}{d x} (\frac{11 - 11 x}{7 x ^{\frac{3}{7}}})

Frequently Asked Questions (FAQ)

What is the derivative of 3/(2x^2)+2\sqrt[5]{x^3} ?
The derivative of 3/(2x^2)+2\sqrt[5]{x^3} is -3/(x^3)+(6x^2)/(5(x^3)^{4/5)}
What is the first derivative of 3/(2x^2)+2\sqrt[5]{x^3} ?
The first derivative of 3/(2x^2)+2\sqrt[5]{x^3} is -3/(x^3)+(6x^2)/(5(x^3)^{4/5)}