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

The derivative of y=x-3sin(x) is 1-3cos(x)

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

The first derivative of y=x-3sin(x) is 1-3cos(x)

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derivative

1 - 3 cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

= 1 - 3 cos (x)

What is the derivative of y=x-3sin(x) ?
The derivative of y=x-3sin(x) is 1-3cos(x)
What is the first derivative of y=x-3sin(x) ?
The first derivative of y=x-3sin(x) is 1-3cos(x)