What is the derivative of 2/9 x^3+3x+cos(x+1) ?

The derivative of 2/9 x^3+3x+cos(x+1) is (2x^2)/3-sin(x)+3

What is the first derivative of 2/9 x^3+3x+cos(x+1) ?

The first derivative of 2/9 x^3+3x+cos(x+1) is (2x^2)/3-sin(x)+3

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\frac{d}{d x} (\frac{2}{9} x^{3} + 3 x + cos (x) + 1)

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

Solution steps

\frac{d}{d x} (\frac{2}{9} x^{3} + 3 x + cos (x) + 1)

Simplify

\frac{2}{9} x^{3} + 3 x + cos (x) + 1 : \frac{2 x ^{3}}{9} + 3 x + cos (x) + 1

= \frac{d}{d x} (\frac{2 x ^{3}}{9} + 3 x + cos (x) + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{2 x ^{3}}{9}) + \frac{d}{d x} (3 x) + \frac{d}{d x} (cos (x)) + \frac{d}{d x} (1)

\frac{d}{d x} (\frac{2 x ^{3}}{9}) = \frac{2 x ^{2}}{3}

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

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

\frac{d}{d x} (1) = 0

= \frac{2 x ^{2}}{3} + 3 - sin (x) + 0

Simplify

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

\frac{\partial}{\partial x} (arcsin (2 x yz))

\int \frac{25}{x x} d x

\int \frac{3 x}{1 - 9 x ^{2}} d x

\frac{d}{d x} (\frac{1 - sin ( x )}{cos ( x )})

f (x) = \frac{1 + 2 x}{1 - 2 x}, (1, - 3)

What is the derivative of 2/9 x^3+3x+cos(x+1) ?
The derivative of 2/9 x^3+3x+cos(x+1) is (2x^2)/3-sin(x)+3
What is the first derivative of 2/9 x^3+3x+cos(x+1) ?
The first derivative of 2/9 x^3+3x+cos(x+1) is (2x^2)/3-sin(x)+3