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Popular >

derivative of x^3+(4x^2/3-2x+5)

Solution

\frac{d}{d x} (x^{3} + \frac{4 x ^{2}}{3} - 2 x + 5)

Solution

3 x^{2} + \frac{8 x}{3} - 2

Solution steps

\frac{d}{d x} (x^{3} + \frac{4 x ^{2}}{3} - 2 x + 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (\frac{4 x ^{2}}{3}) - \frac{d}{d x} (2 x) + \frac{d}{d x} (5)

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

\frac{d}{d x} (\frac{4 x ^{2}}{3}) = \frac{8 x}{3}

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

\frac{d}{d x} (5) = 0

= 3 x^{2} + \frac{8 x}{3} - 2 + 0

Simplify

= 3 x^{2} + \frac{8 x}{3} - 2

Popular Examples

integral of x^3sqrt(x^2+36)

\int x^{3} x^{2} + 36 d x

limit as x approaches 0 of ((2x^3))/(2x)

x \to 0 lim (\frac{( 2 x ^{3} )}{2 x})

integral of e^{2x}*2

\int e^{2 x} \cdot 2 d x

integral of 6/(x(x-6)^2)

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

y^{''}+4y^'+5y=15x+3e^{-x}

y^{^{''}} + 4 y^{^{'}} + 5 y = 15 x + 3 e^{- x}

Frequently Asked Questions (FAQ)

What is the derivative of x^3+(4x^2/3-2x+5) ?
The derivative of x^3+(4x^2/3-2x+5) is 3x^2+(8x)/3-2
What is the first derivative of x^3+(4x^2/3-2x+5) ?
The first derivative of x^3+(4x^2/3-2x+5) is 3x^2+(8x)/3-2