What is the derivative of f(x)=6e^xcos(x) ?

The derivative of f(x)=6e^xcos(x) is 6(e^xcos(x)-e^xsin(x))

What is the first derivative of f(x)=6e^xcos(x) ?

The first derivative of f(x)=6e^xcos(x) is 6(e^xcos(x)-e^xsin(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = 6 e^{x} cos (x)

6 (e^{x} cos (x) - e^{x} sin (x))

Solution steps

\frac{d}{d x} (6 e^{x} cos (x))

Take the constant out:

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

= 6 \frac{d}{d x} (e^{x} cos (x))

Apply the Product Rule:

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

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

= 6 (\frac{d}{d x} (e^{x}) cos (x) + \frac{d}{d x} (cos (x)) e^{x})

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

\frac{d}{d x} (cos (x)) = - sin (x)

= 6 (e^{x} cos (x) + (- sin (x)) e^{x})

Simplify

= 6 (e^{x} cos (x) - e^{x} sin (x))

y^{2} = x + 2, y^{2} = 2 - x

f (x) = - \frac{7}{( x - 7 ) ^{2}}

\int sin^{2} (\frac{2 π x}{L}) d x

\frac{d}{d x} (e^{\frac{- 1}{x ^{2}}})

x \to 3 lim (\frac{7 x ^{2} - 3 x}{x})

What is the derivative of f(x)=6e^xcos(x) ?
The derivative of f(x)=6e^xcos(x) is 6(e^xcos(x)-e^xsin(x))
What is the first derivative of f(x)=6e^xcos(x) ?
The first derivative of f(x)=6e^xcos(x) is 6(e^xcos(x)-e^xsin(x))