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Popular >

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

Solution

derivative of

y = 3 x^{2} + \frac{10 x}{3} - 2

Solution

6 x + \frac{10}{3}

Solution steps

\frac{d}{d x} (3 x^{2} + \frac{10 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{10 x}{3}) - \frac{d}{d x} (2)

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

\frac{d}{d x} (\frac{10 x}{3}) = \frac{10}{3}

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

= 6 x + \frac{10}{3} - 0

Simplify

= 6 x + \frac{10}{3}

Popular Examples

derivative of (tan^3(x)/3)

\frac{d}{d x} (\frac{tan ^{3} ( x )}{3})

sum from n=1 to infinity of (2n!)/(n^5)

n = 1 \sum \infty \frac{2 n !}{n ^{5}}

(\partial)/(\partial x)(-6e^{-3x^2-y^2}x)

\frac{\partial}{\partial x} (- 6 e^{- 3 x^{2} - y^{2}} x)

slope of (1-2x)(3x-4),\at x=2 slope

(1 - 2 x) (3 x - 4), at x = 2

f(x)=sqrt(2x^2-x+9)

f (x) = 2 x^{2} - x + 9

Frequently Asked Questions (FAQ)

What is the derivative of y=3x^2+(10x)/3-2 ?
The derivative of y=3x^2+(10x)/3-2 is 6x+10/3
What is the first derivative of y=3x^2+(10x)/3-2 ?
The first derivative of y=3x^2+(10x)/3-2 is 6x+10/3