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Popular >

derivative of 4/3 x^3-4x+3

Solution

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

Solution

4 x^{2} - 4

Solution steps

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

Simplify

\frac{4}{3} x^{3} - 4 x + 3 : \frac{4 x ^{3}}{3} - 4 x + 3

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (3) = 0

= 4 x^{2} - 4 + 0

Simplify

= 4 x^{2} - 4

Popular Examples

f (x) = \frac{1}{x - 4}

integral from 0 to pi/3 of sin(x)ln(cos(x))

\int_{0}^{\frac{π}{3}} sin (x) ln (cos (x)) d x

integral of cos^2(ln(x))

\int cos^{2} (ln (x)) d x

(\partial)/(\partial x)(y+(1/(1/x+1/z)))

\frac{\partial}{\partial x} (y + (\frac{1}{\frac{1}{x} + \frac{1}{z}}))

integral of x/(sqrt(1+x^2)+x)

\int \frac{x}{1 + x ^{2} + x} d x

Frequently Asked Questions (FAQ)

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