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

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

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

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

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

- 3 sin (x) - cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d y}{d x} + 2 x y - y = 0, y (0) = 4

\int \frac{x + 9}{16 - ( x - 4 ) ^{2}} d x

\int (sin (x))^{11} (cos (x))^{5} d x

y^{^{'}} = y^{3} - 6 x^{2} y^{3}, y (1) = - \frac{1}{2}

x \to 1 lim (\frac{x ^{2} + 1}{x + 1})

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