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Popular >

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

Solution

derivative of

y = 3 x^{2} + \frac{4 x}{3} - 2

Solution

6 x + \frac{4}{3}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3 x^{2}) = 6 x

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

\frac{d}{d x} (2) = 0

= 6 x + \frac{4}{3} - 0

Simplify

= 6 x + \frac{4}{3}

Popular Examples

derivative of 3/(r^3)derivative of

\frac{3}{r ^{3}}

(dy}{dx}=\frac{1-y^2)/x

\frac{d y}{d x} = \frac{1 - y ^{2}}{x}

sum from n=6 to infinity of (5^n)/(10^n)

n = 6 \sum \infty \frac{5 ^{n}}{1 0 ^{n}}

integral of (tan^3(2/z))/(z^2)

\int \frac{tan ^{3} ( \frac{2}{z} )}{z ^{2}}

(dy)/(dx)+xy=y^4

\frac{d y}{d x} + x y = y^{4}

Frequently Asked Questions (FAQ)

What is the derivative of y=3x^2+(4x)/3-2 ?
The derivative of y=3x^2+(4x)/3-2 is 6x+4/3
What is the first derivative of y=3x^2+(4x)/3-2 ?
The first derivative of y=3x^2+(4x)/3-2 is 6x+4/3