What is the derivative of 9sec(x)-5x ?

The derivative of 9sec(x)-5x is 9sec(x)tan(x)-5

What is the first derivative of 9sec(x)-5x ?

The first derivative of 9sec(x)-5x is 9sec(x)tan(x)-5

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derivative

9 sec (x) tan (x) - 5

Solution steps

\frac{d}{d x} (9 sec (x) - 5 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (9 sec (x)) - \frac{d}{d x} (5 x)

\frac{d}{d x} (9 sec (x)) = 9 sec (x) tan (x)

\frac{d}{d x} (5 x) = 5

= 9 sec (x) tan (x) - 5

What is the derivative of 9sec(x)-5x ?
The derivative of 9sec(x)-5x is 9sec(x)tan(x)-5
What is the first derivative of 9sec(x)-5x ?
The first derivative of 9sec(x)-5x is 9sec(x)tan(x)-5