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Popular >

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

Solution

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

Solution

\frac{4 x}{3} - cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (sin (x)) = cos (x)

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

= \frac{4 x}{3} - cos (x) + 0

Simplify

= \frac{4 x}{3} - cos (x)

Graph

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\int x ln (2) d x

integral of (x^2)/(x^2+x+56)

\int \frac{x ^{2}}{x ^{2} + x + 56} d x

Frequently Asked Questions (FAQ)

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