What is the derivative of 3tan(sqrt(x)+cotan(3x)) ?

The derivative of 3tan(sqrt(x)+cotan(3x)) is (3sec^2(sqrt(x)))/(2sqrt(x))+cosec^2(3x)*3

What is the first derivative of 3tan(sqrt(x)+cotan(3x)) ?

The first derivative of 3tan(sqrt(x)+cotan(3x)) is (3sec^2(sqrt(x)))/(2sqrt(x))+cosec^2(3x)*3

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\frac{d}{d x} (3 tan (x) + co tan (3 x))

\frac{3 sec ^{2} ( x )}{2 x} + co sec^{2} (3 x) \cdot 3

Solution steps

\frac{d}{d x} (3 tan (x) + co tan (3 x))

Treat

c, o

as a constant

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 tan (x)) + \frac{d}{d x} (co tan (3 x))

\frac{d}{d x} (3 tan (x)) = \frac{3 sec ^{2} ( x )}{2 x}

\frac{d}{d x} (co tan (3 x)) = co sec^{2} (3 x) \cdot 3

= \frac{3 sec ^{2} ( x )}{2 x} + co sec^{2} (3 x) \cdot 3

\frac{d}{d x} (cos (2 x) y)

y = x^{2} - 6, y = 3

y = e^{3 x}, y = e^{x}, [0, 2]

\frac{d}{d x} (\frac{24}{x ^{5}})

\int x^{7} e^{x} d x

What is the derivative of 3tan(sqrt(x)+cotan(3x)) ?
The derivative of 3tan(sqrt(x)+cotan(3x)) is (3sec^2(sqrt(x)))/(2sqrt(x))+cosec^2(3x)*3
What is the first derivative of 3tan(sqrt(x)+cotan(3x)) ?
The first derivative of 3tan(sqrt(x)+cotan(3x)) is (3sec^2(sqrt(x)))/(2sqrt(x))+cosec^2(3x)*3