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

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

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

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

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derivative of

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

- 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)

\int 6 x 1 - 3 x^{2} d x

\frac{d}{d x} (- \frac{4}{x ^{4}})

\frac{\partial}{\partial x} (3 y^{2} e^{x} - 4 x)

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

\int \frac{x y}{x ^{2} + y ^{2} + 1} d x

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