What is the derivative of f(x)=7e^xcos(x) ?

The derivative of f(x)=7e^xcos(x) is 7(e^xcos(x)-e^xsin(x))

What is the first derivative of f(x)=7e^xcos(x) ?

The first derivative of f(x)=7e^xcos(x) is 7(e^xcos(x)-e^xsin(x))

Popular >

derivative of

f (x) = 7 e^{x} cos (x)

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

Solution steps

\frac{d}{d x} (7 e^{x} cos (x))

Take the constant out:

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

= 7 \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)

= 7 (\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)

= 7 (e^{x} cos (x) + (- sin (x)) e^{x})

Simplify

= 7 (e^{x} cos (x) - e^{x} sin (x))

x \to 2 lim (7 - x)

\int_{1}^{\infty} x^{- \frac{1}{3}} d x

\frac{d}{d t} (- e^{- 4 t} + 4 t e^{- 4 t})

\frac{( z + 2 )}{z ^{2}}

\int \frac{x}{x ^{2} + 6 x + 8} d x

What is the derivative of f(x)=7e^xcos(x) ?
The derivative of f(x)=7e^xcos(x) is 7(e^xcos(x)-e^xsin(x))
What is the first derivative of f(x)=7e^xcos(x) ?
The first derivative of f(x)=7e^xcos(x) is 7(e^xcos(x)-e^xsin(x))