What is the derivative of sin(x)ln(sec(x)+tan(x))-1 ?

The derivative of sin(x)ln(sec(x)+tan(x))-1 is cos(x)ln(sec(x)+tan(x))+tan(x)

What is the first derivative of sin(x)ln(sec(x)+tan(x))-1 ?

The first derivative of sin(x)ln(sec(x)+tan(x))-1 is cos(x)ln(sec(x)+tan(x))+tan(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

sin (x) ln (sec (x) + tan (x)) - 1

cos (x) ln (sec (x) + tan (x)) + tan (x)

Solution steps

\frac{d}{d x} (sin (x) ln (sec (x) + tan (x)) - 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (x) ln (sec (x) + tan (x))) - \frac{d}{d x} (1)

\frac{d}{d x} (sin (x) ln (sec (x) + tan (x))) = cos (x) ln (sec (x) + tan (x)) + tan (x)

\frac{d}{d x} (1) = 0

= cos (x) ln (sec (x) + tan (x)) + tan (x) - 0

Simplify

= cos (x) ln (sec (x) + tan (x)) + tan (x)

What is the derivative of sin(x)ln(sec(x)+tan(x))-1 ?
The derivative of sin(x)ln(sec(x)+tan(x))-1 is cos(x)ln(sec(x)+tan(x))+tan(x)
What is the first derivative of sin(x)ln(sec(x)+tan(x))-1 ?
The first derivative of sin(x)ln(sec(x)+tan(x))-1 is cos(x)ln(sec(x)+tan(x))+tan(x)