What is the derivative of 2(x-2)-cos(3x)*3 ?

The derivative of 2(x-2)-cos(3x)*3 is 2+9sin(3x)

What is the first derivative of 2(x-2)-cos(3x)*3 ?

The first derivative of 2(x-2)-cos(3x)*3 is 2+9sin(3x)

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derivative of

2 (x - 2) - cos (3 x) \cdot 3

2 + 9 sin (3 x)

Solution steps

\frac{d}{d x} (2 (x - 2) - cos (3 x) \cdot 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 (x - 2)) - \frac{d}{d x} (cos (3 x) \cdot 3)

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

\frac{d}{d x} (cos (3 x) \cdot 3) = - 9 sin (3 x)

= 2 - (- 9 sin (3 x))

Simplify

= 2 + 9 sin (3 x)

\int - e^{- t} d t

\frac{d}{d x} (arcsec (2 x))

x \to 2 lim (x^{2} + 3)

\int_{- 2}^{2} (2 4 - x^{2})^{2} d x

\frac{d}{d x} (\frac{( x ^{2} - 6 x )}{x + 1})

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