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Popular >

derivative of e^{3xcos(2x)}

Solution

derivative of

e^{3 x c o s (2 x)}

Solution

e^{3 x c o s (2 x)} \cdot 3 (cos (2 x) - 2 x sin (2 x))

Solution steps

\frac{d}{d x} (e^{3 x c o s (2 x)})

Apply the chain rule:

e^{3 x c o s (2 x)} \frac{d}{d x} (3 x cos (2 x))

= e^{3 x c o s (2 x)} \frac{d}{d x} (3 x cos (2 x))

\frac{d}{d x} (3 x cos (2 x)) = 3 (cos (2 x) - 2 x sin (2 x))

= e^{3 x c o s (2 x)} \cdot 3 (cos (2 x) - 2 x sin (2 x))

Popular Examples

derivative of y=-3/x+2/(x^3)derivative of

y = - \frac{3}{x} + \frac{2}{x ^{3}}

integral of (7-x^2)/(3x^3+x)

\int \frac{7 - x ^{2}}{3 x ^{3} + x} d x

(\partial)/(\partial y)(x^5yz^2+4yz)

\frac{\partial}{\partial y} (x^{5} y z^{2} + 4 yz)

tangent of f(x)=x^2+x,\at a=5 tangent of

f (x) = x^{2} + x, at a = 5

derivative of Inxy(I,x^2)

\frac{d}{d x} (I n x y (I, x)^{2})

Frequently Asked Questions (FAQ)

What is the derivative of e^{3xcos(2x)} ?
The derivative of e^{3xcos(2x)} is e^{3xcos(2x)}*3(cos(2x)-2xsin(2x))
What is the first derivative of e^{3xcos(2x)} ?
The first derivative of e^{3xcos(2x)} is e^{3xcos(2x)}*3(cos(2x)-2xsin(2x))