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Popular >

derivative of f(x)= 1/(3x^2)+4x^3

Solution

derivative of

f (x) = \frac{1}{3 x ^{2}} + 4 x^{3}

Solution

- \frac{2}{3 x ^{3}} + 12 x^{2}

Solution steps

\frac{d}{d x} (\frac{1}{3 x ^{2}} + 4 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{1}{3 x ^{2}}) + \frac{d}{d x} (4 x^{3})

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

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

= - \frac{2}{3 x ^{3}} + 12 x^{2}

Popular Examples

derivative of f(x)=-12x^2+9x,\at x=6 derivative of

f (x) = - 12 x^{2} + 9 x, at x = 6

simplify (1.3)(3.5)simplify

(1.3) (3.5)

slope of y=5x+2 slope

y = 5 x + 2

cartesian (6,(2pi)/3)polar to cartesian

(6, \frac{2 π}{3})

derivative of f(x)=ln(3x)derivative of

f (x) = ln (3 x)

Frequently Asked Questions (FAQ)

What is the derivative of f(x)= 1/(3x^2)+4x^3 ?
The derivative of f(x)= 1/(3x^2)+4x^3 is -2/(3x^3)+12x^2
What is the first derivative of f(x)= 1/(3x^2)+4x^3 ?
The first derivative of f(x)= 1/(3x^2)+4x^3 is -2/(3x^3)+12x^2