What is the derivative of f(x)=sin(2x)+2cos(x) ?

The derivative of f(x)=sin(2x)+2cos(x) is cos(2x)*2-2sin(x)

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

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

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derivative of

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

x \to - 4 - lim (∣ x + 4 ∣ - 2 x)

\int_{120}^{150} e^{- \frac{x}{100}} d x

\int_{1}^{\infty} \frac{2}{x ^{2}} d x

\int x (x + 5)^{21} d x

x = 0 \sum \infty \frac{1}{x ^{0.51}}

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