What is the derivative of (0.6e^x)/(cos(x)) ?

The derivative of (0.6e^x)/(cos(x)) is 0.6sec(x)(e^x+e^xtan(x))

What is the first derivative of (0.6e^x)/(cos(x)) ?

The first derivative of (0.6e^x)/(cos(x)) is 0.6sec(x)(e^x+e^xtan(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{0.6 e ^{x}}{cos ( x )}

0.6 sec (x) (e^{x} + e^{x} tan (x))

Solution steps

\frac{d}{d x} (\frac{0.6 e ^{x}}{cos ( x )})

Simplify

\frac{0.6 e ^{x}}{cos ( x )} : 0.6 e^{x} sec (x)

= \frac{d}{d x} (0.6 e^{x} sec (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 0.6 \frac{d}{d x} (e^{x} sec (x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = e^{x}, g = sec (x)

= 0.6 (\frac{d}{d x} (e^{x}) sec (x) + \frac{d}{d x} (sec (x)) e^{x})

\frac{d}{d x} (e^{x}) = e^{x}

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

= 0.6 (e^{x} sec (x) + sec (x) tan (x) e^{x})

Simplify

0.6 (e^{x} sec (x) + sec (x) tan (x) e^{x}) : 0.6 sec (x) (e^{x} + e^{x} tan (x))

= 0.6 sec (x) (e^{x} + e^{x} tan (x))

3^{x}

x \to 1 lim (- 4 x + 6)

\int 19 z^{3} e^{z} d z

\frac{d y}{d t} = y - 3 e^{- t}

\frac{d y}{d x} = e^{2 x + 3 y}

What is the derivative of (0.6e^x)/(cos(x)) ?
The derivative of (0.6e^x)/(cos(x)) is 0.6sec(x)(e^x+e^xtan(x))
What is the first derivative of (0.6e^x)/(cos(x)) ?
The first derivative of (0.6e^x)/(cos(x)) is 0.6sec(x)(e^x+e^xtan(x))