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

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

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

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

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\frac{d}{d 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)

- x^{2} + 7 x + 2, at x = 3

y = 2 x^{3} - x^{2} + 1, (1, 2)

x \to 0 + lim (\frac{x}{x})

\frac{\partial}{\partial x} ((2 - x)^{6})

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

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