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Popular >

derivative of (x^3/3+x^2+4x-10)

Solution

\frac{d}{d x} (\frac{x ^{3}}{3} + x^{2} + 4 x - 10)

Solution

x^{2} + 2 x + 4

Solution steps

\frac{d}{d x} (\frac{x ^{3}}{3} + x^{2} + 4 x - 10)

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} (4 x) - \frac{d}{d x} (10)

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

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

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

\frac{d}{d x} (10) = 0

= x^{2} + 2 x + 4 - 0

Simplify

= x^{2} + 2 x + 4

Popular Examples

integral of sin(2pi)

\int sin (2 π)

limit as x approaches 1-of (x+1)/(1-x)

x \to 1 - lim (\frac{x + 1}{1 - x})

(\partial)/(\partial x)(sqrt(x)y)

\frac{\partial}{\partial x} (x y)

derivative of ln(0)

\frac{d}{d x} (ln (0))

(\partial}{\partial x}(\frac{e^x)/x)

\frac{\partial}{\partial x} (\frac{e ^{x}}{x})

Frequently Asked Questions (FAQ)

What is the derivative of (x^3/3+x^2+4x-10) ?
The derivative of (x^3/3+x^2+4x-10) is x^2+2x+4
What is the first derivative of (x^3/3+x^2+4x-10) ?
The first derivative of (x^3/3+x^2+4x-10) is x^2+2x+4