What is the derivative of f(x)=xcos(x)+2tan(x) ?

The derivative of f(x)=xcos(x)+2tan(x) is cos(x)-xsin(x)+2sec^2(x)

What is the first derivative of f(x)=xcos(x)+2tan(x) ?

The first derivative of f(x)=xcos(x)+2tan(x) is cos(x)-xsin(x)+2sec^2(x)

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derivative of

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

cos (x) - x sin (x) + 2 sec^{2} (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2 tan (x)) = 2 sec^{2} (x)

= cos (x) - x sin (x) + 2 sec^{2} (x)

What is the derivative of f(x)=xcos(x)+2tan(x) ?
The derivative of f(x)=xcos(x)+2tan(x) is cos(x)-xsin(x)+2sec^2(x)
What is the first derivative of f(x)=xcos(x)+2tan(x) ?
The first derivative of f(x)=xcos(x)+2tan(x) is cos(x)-xsin(x)+2sec^2(x)