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Popular >

derivative of f(x)=cos(2x)+sin(2x)

Solution

derivative of

f (x) = cos (2 x) + sin (2 x)

Solution

- sin (2 x) \cdot 2 + cos (2 x) \cdot 2

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (cos (2 x)) + \frac{d}{d x} (sin (2 x))

\frac{d}{d x} (cos (2 x)) = - sin (2 x) \cdot 2

\frac{d}{d x} (sin (2 x)) = cos (2 x) \cdot 2

= - sin (2 x) \cdot 2 + cos (2 x) \cdot 2

Popular Examples

derivative of (2.25r)/((r+0.5)^2)derivative of

\frac{2.25 r}{( r + 0.5 ) ^{2}}

integral of (x^2+x+1)

\int (x^{2} + x + 1) d x

integral of cos(θ)sin^2(θ)

\int cos (θ) sin^{2} (θ) d θ

(\partial)/(\partial y)(x^2cos(e^{xy}))

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

y^{''}+6y^'+9y=-xe^{4x}

y^{^{''}} + 6 y^{^{'}} + 9 y = - x e^{4 x}

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=cos(2x)+sin(2x) ?
The derivative of f(x)=cos(2x)+sin(2x) is -sin(2x)*2+cos(2x)*2
What is the first derivative of f(x)=cos(2x)+sin(2x) ?
The first derivative of f(x)=cos(2x)+sin(2x) is -sin(2x)*2+cos(2x)*2