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Popular >

derivative of (x^3)/4+1/(3x)

Solution

derivative of

\frac{x ^{3}}{4} + \frac{1}{3 x}

Solution

\frac{3 x ^{2}}{4} - \frac{1}{3 x ^{2}}

Solution steps

\frac{d}{d x} (\frac{x ^{3}}{4} + \frac{1}{3 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{3}}{4}) + \frac{d}{d x} (\frac{1}{3 x})

\frac{d}{d x} (\frac{x ^{3}}{4}) = \frac{3 x ^{2}}{4}

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

= \frac{3 x ^{2}}{4} - \frac{1}{3 x ^{2}}

Popular Examples

(\partial)/(\partial t)(3t)

\frac{\partial}{\partial t} (3 t)

derivative of f(x)=sin(θ)cos(θ)derivative of

f (x) = sin (θ) cos (θ)

(dv)/(dt)=-2v-32

\frac{d v}{d t} = - 2 v - 32

y^{^{''}} = - 16 y

limit as x approaches 1 of e^{8x^2-8x}

x \to 1 lim (e^{8 x^{2} - 8 x})

Frequently Asked Questions (FAQ)

What is the derivative of (x^3)/4+1/(3x) ?
The derivative of (x^3)/4+1/(3x) is (3x^2)/4-1/(3x^2)
What is the first derivative of (x^3)/4+1/(3x) ?
The first derivative of (x^3)/4+1/(3x) is (3x^2)/4-1/(3x^2)