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Popular >

derivative of (x^3/3+(x^2)/2-2x+7)

Solution

\frac{d}{d x} (\frac{x ^{3}}{3} + \frac{x ^{2}}{2} - 2 x + 7)

Solution

x^{2} + x - 2

Solution steps

\frac{d}{d x} (\frac{x ^{3}}{3} + \frac{x ^{2}}{2} - 2 x + 7)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{3}}{3}) + \frac{d}{d x} (\frac{x ^{2}}{2}) - \frac{d}{d x} (2 x) + \frac{d}{d x} (7)

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

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

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

\frac{d}{d x} (7) = 0

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

Simplify

= x^{2} + x - 2

Popular Examples

(sec(x))(dy)/(dx)+y=2

(sec (x)) \frac{d y}{d x} + y = 2

integral of e^{1x}

\int e^{1 x} d x

inverse oflaplace (e^{-s})/(s^1)inverse laplace

\frac{e ^{- s}}{s ^{1}}

tangent of f(x)=cos(3x)ln(x^4),(1,0)tangent of

f (x) = cos (3 x) ln (x^{4}), (1, 0)

derivative of (9x^2/((x^2+x)^3))

\frac{d}{d x} (\frac{9 x ^{2}}{( x ^{2} + x ) ^{3}})

Frequently Asked Questions (FAQ)

What is the derivative of (x^3/3+(x^2)/2-2x+7) ?
The derivative of (x^3/3+(x^2)/2-2x+7) is x^2+x-2
What is the first derivative of (x^3/3+(x^2)/2-2x+7) ?
The first derivative of (x^3/3+(x^2)/2-2x+7) is x^2+x-2