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Popular >

derivative of 1/3 x^3+2x-4

Solution

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

Solution

x^{2} + 2

Solution steps

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

Simplify

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

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (4) = 0

= x^{2} + 2 - 0

Simplify

= x^{2} + 2

Popular Examples

sum from n=0 to infinity of (6/5)^n

n = 0 \sum \infty (\frac{6}{5})^{n}

tangent of f(x)=x^3-x tangent of

f (x) = x^{3} - x

integral of 4t^3cos(t^4+1)

\int 4 t^{3} cos (t^{4} + 1) d t

derivative of 1/(arctan(x))derivative of

\frac{1}{arctan ( x )}

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

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

Frequently Asked Questions (FAQ)

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