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Popular >

derivative of sin(2x+3cos(2x))

Solution

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

Solution

cos (2 x) \cdot 2 - 6 sin (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (3 cos (2 x)) = - 6 sin (2 x)

= cos (2 x) \cdot 2 - 6 sin (2 x)

Popular Examples

8xy^'=2xe^x-8y+6x^2

8 x y^{^{'}} = 2 x e^{x} - 8 y + 6 x^{2}

limit as h approaches 0 of ((-5+h)-25)/h

h \to 0 lim (\frac{( - 5 + h ) - 25}{h})

limit as x approaches infinity of (i)^x

x \to \infty lim ((i)^{x})

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

\int \frac{x ^{2}}{( 2 - x ^{3} ) ^{2}} d x

derivative of sqrt(x^2+64)

\frac{d}{d x} (x^{2} + 64)

Frequently Asked Questions (FAQ)

What is the derivative of sin(2x+3cos(2x)) ?
The derivative of sin(2x+3cos(2x)) is cos(2x)*2-6sin(2x)
What is the first derivative of sin(2x+3cos(2x)) ?
The first derivative of sin(2x+3cos(2x)) is cos(2x)*2-6sin(2x)