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Popular >

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

Solution

derivative of

\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

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

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

area 17e^{0.02t},21e^{0.02t},[0,50]area

17 e^{0.02 t}, 21 e^{0.02 t}, [0, 50]

(\partial)/(\partial y)(xcos(y))

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

(dy)/(dx)=3x^2y

\frac{d y}{d x} = 3 x^{2} y

taylor e^{2x}taylor

e^{2 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