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

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

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

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

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

cos (x) + 3 sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= cos (x) + 3 sin (x)

\int \frac{12}{1 + t ^{2}} d t

- 5 sin (4 t)

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

\frac{s ^{3} + 5 s ^{2} + 9 s + 7}{s ^{2} + 3 s + 2}

\frac{\partial}{\partial x} (a x^{2})

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