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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d}{d x} (\frac{x}{x ^{2} + a ^{2}})

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

\frac{d y}{d x} 7 x^{3} + 7 y^{3} - 5 x y = 0

\int \frac{1}{x ( 5 + 9 ln ( x ) )} d x

x \to 0 lim ((1 - 7 x)^{\frac{5}{x}})

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