What is the derivative of 2tan(x)+sec(x)-3cot(x) ?

The derivative of 2tan(x)+sec(x)-3cot(x) is 2sec^2(x)+sec(x)tan(x)+3csc^2(x)

What is the first derivative of 2tan(x)+sec(x)-3cot(x) ?

The first derivative of 2tan(x)+sec(x)-3cot(x) is 2sec^2(x)+sec(x)tan(x)+3csc^2(x)

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derivative of

2 tan (x) + sec (x) - 3 cot (x)

2 sec^{2} (x) + sec (x) tan (x) + 3 csc^{2} (x)

Solution steps

\frac{d}{d x} (2 tan (x) + sec (x) - 3 cot (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 tan (x)) + \frac{d}{d x} (sec (x)) - \frac{d}{d x} (3 cot (x))

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

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

\frac{d}{d x} (3 cot (x)) = - 3 csc^{2} (x)

= 2 sec^{2} (x) + sec (x) tan (x) - (- 3 csc^{2} (x))

Simplify

= 2 sec^{2} (x) + sec (x) tan (x) + 3 csc^{2} (x)

\frac{x ^{3}}{3 - 3 x}

arcsin (e^{x})

3^{x} + 2

lo g_{10} (\frac{2}{x})

\frac{( 3 x ^{2} - 1 ) ^{2}}{( x + 1 ) ^{3}}

What is the derivative of 2tan(x)+sec(x)-3cot(x) ?
The derivative of 2tan(x)+sec(x)-3cot(x) is 2sec^2(x)+sec(x)tan(x)+3csc^2(x)
What is the first derivative of 2tan(x)+sec(x)-3cot(x) ?
The first derivative of 2tan(x)+sec(x)-3cot(x) is 2sec^2(x)+sec(x)tan(x)+3csc^2(x)