What is the derivative of xe^{cos(2x-y}) ?

The derivative of xe^{cos(2x-y}) is e^{cos(2x-y)}-e^{cos(2x-y)}xsin(2x-y)(2-(dy)/(dx))

What is the first derivative of xe^{cos(2x-y}) ?

The first derivative of xe^{cos(2x-y}) is e^{cos(2x-y)}-e^{cos(2x-y)}xsin(2x-y)(2-(dy)/(dx))

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\frac{d}{d x} (x e^{c o s (2 x - y)})

e^{c o s (2 x - y)} - e^{c o s (2 x - y)} x sin (2 x - y) (2 - \frac{d y}{d x})

Solution steps

\frac{d}{d x} (x e^{c o s (2 x - y)})

Apply the Product Rule:

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

f = x, g = e^{c o s (2 x - y)}

= \frac{d x}{d x} e^{c o s (2 x - y)} + \frac{d}{d x} (e^{c o s (2 x - y)}) x

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

\frac{d}{d x} (e^{c o s (2 x - y)}) = - e^{c o s (2 x - y)} sin (2 x - y) (2 - \frac{d y}{d x})

= 1 \cdot e^{c o s (2 x - y)} + (- e^{c o s (2 x - y)} sin (2 x - y) (2 - \frac{d y}{d x})) x

Simplify

= e^{c o s (2 x - y)} - e^{c o s (2 x - y)} x sin (2 x - y) (2 - \frac{d y}{d x})

x \to + 3 + lim (\frac{x + 3}{x - 3})

\frac{\partial}{\partial y} (x^{3} + x^{2} y - y^{2} - 4 y)

\int_{- 1}^{2} (x - 1) (2 x + 3) d x

\frac{d}{d x} (- 64 e^{- 4 x})

\int y cos (x) y d x

What is the derivative of xe^{cos(2x-y}) ?
The derivative of xe^{cos(2x-y}) is e^{cos(2x-y)}-e^{cos(2x-y)}xsin(2x-y)(2-(dy)/(dx))
What is the first derivative of xe^{cos(2x-y}) ?
The first derivative of xe^{cos(2x-y}) is e^{cos(2x-y)}-e^{cos(2x-y)}xsin(2x-y)(2-(dy)/(dx))