What is the derivative of y=8excos(x) ?

The derivative of y=8excos(x) is 8e(cos(x)-xsin(x))

What is the first derivative of y=8excos(x) ?

The first derivative of y=8excos(x) is 8e(cos(x)-xsin(x))

Popular >

derivative of

y = 8 e x cos (x)

8 e (cos (x) - x sin (x))

Solution steps

\frac{d}{d x} (8 e x cos (x))

Take the constant out:

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

= 8 e \frac{d}{d x} (x cos (x))

Apply the Product Rule:

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

f = x, g = cos (x)

= 8 e (\frac{d x}{d x} cos (x) + \frac{d}{d x} (cos (x)) x)

\frac{d x}{d x} = 1

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

= 8 e (1 \cdot cos (x) + (- sin (x)) x)

Simplify

= 8 e (cos (x) - x sin (x))

\frac{d y}{d x} + \frac{2 x}{( 1 + x ^{2} )} y = - 2 x y^{2}

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

x^{2}, x + 2, y = 0

\frac{d}{d x} ((1 - x)^{3})

y = sec^{2} (x) - tan^{2} (x)

What is the derivative of y=8excos(x) ?
The derivative of y=8excos(x) is 8e(cos(x)-xsin(x))
What is the first derivative of y=8excos(x) ?
The first derivative of y=8excos(x) is 8e(cos(x)-xsin(x))