What is the derivative of f(x)=-5cot(x)+3sec(x) ?

The derivative of f(x)=-5cot(x)+3sec(x) is 5csc^2(x)+3sec(x)tan(x)

What is the first derivative of f(x)=-5cot(x)+3sec(x) ?

The first derivative of f(x)=-5cot(x)+3sec(x) is 5csc^2(x)+3sec(x)tan(x)

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derivative of

f (x) = - 5 cot (x) + 3 sec (x)

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

Solution steps

\frac{d}{d x} (- 5 cot (x) + 3 sec (x))

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (5 cot (x)) + \frac{d}{d x} (3 sec (x))

\frac{d}{d x} (5 cot (x)) = - 5 csc^{2} (x)

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

= - (- 5 csc^{2} (x)) + 3 sec (x) tan (x)

Simplify

= 5 csc^{2} (x) + 3 sec (x) tan (x)

(sin (ln (x)))^{^{'}}

x \to - 1 lim (x^{2})

\int 2 x^{2} - 1 d x

f (x) = a x^{3} + b x^{2} + c x + d

\int (9 x + cos (x)) d x

What is the derivative of f(x)=-5cot(x)+3sec(x) ?
The derivative of f(x)=-5cot(x)+3sec(x) is 5csc^2(x)+3sec(x)tan(x)
What is the first derivative of f(x)=-5cot(x)+3sec(x) ?
The first derivative of f(x)=-5cot(x)+3sec(x) is 5csc^2(x)+3sec(x)tan(x)