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Popular Calculus >

derivative of f(x)=sqrt(3)sin(x)+cos(x)

Solution

derivative of

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

Solution

3 cos (x) - sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 3 cos (x) - sin (x)

Graph

Popular Examples

integral of (3x^2+2x)ln(x)

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

derivative of (1+sin(3x)^4)

\frac{d}{d x} ((1 + sin (3 x))^{4})

derivative of (3cos(2x+sin(3x)+4)^2)

\frac{d}{d x} ((3 cos (2 x) + sin (3 x) + 4)^{2})

y^'-4y=10sin(2t),y(0)=0

y^{^{'}} - 4 y = 10 sin (2 t), y (0) = 0

(\partial)/(\partial y)(ye^{2xy}+x)

\frac{\partial}{\partial y} (y e^{2 x y} + x)

Frequently Asked Questions (FAQ)

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