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Popular >

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

Solution

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

Solution

x^{2} + 2 x

Solution steps

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

Simplify

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

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

Apply the Sum/Difference Rule:

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

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

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

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

= x^{2} + 2 x

Popular Examples

inverse oflaplace ((s+1))/(s^2+s+1/2)inverse laplace

\frac{( s + 1 )}{s ^{2} + s + \frac{1}{2}}

integral of 6/((x-2)(x+4))

\int \frac{6}{( x - 2 ) ( x + 4 )} d x

(\partial)/(\partial x)((3x+4y)^5)

\frac{\partial}{\partial x} ((3 x + 4 y)^{5})

derivative of y=(x^5)/(1-x^4)derivative of

y = \frac{x ^{5}}{1 - x ^{4}}

limit as x approaches infinity of sin(0)

x \to \infty lim (sin (0))

Frequently Asked Questions (FAQ)

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