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

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

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

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

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

3 sin (x) + 2 cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2 sin (x)) = 2 cos (x)

= - (- 3 sin (x)) + 2 cos (x)

Simplify

= 3 sin (x) + 2 cos (x)

\frac{d y}{d t} = y (1 - y)

\frac{d}{d t} (2 t)

\int_{1}^{3} 4 x^{4} ln (x) d x

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

\int (\frac{1}{x} - \frac{4}{9 x ^{2} + 1}) d x

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