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Popular >

derivative of 3cos(2x+sin(2x)+4)

Solution

\frac{d}{d x} (3 cos (2 x) + sin (2 x) + 4)

Solution

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

Solution steps

\frac{d}{d x} (3 cos (2 x) + sin (2 x) + 4)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 cos (2 x)) + \frac{d}{d x} (sin (2 x)) + \frac{d}{d x} (4)

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

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

\frac{d}{d x} (4) = 0

= - 6 sin (2 x) + cos (2 x) \cdot 2 + 0

Simplify

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

Popular Examples

slope of (5, 1/2),(495/62 ,3)slope

(5, \frac{1}{2}), (\frac{495}{62}, 3)

integral of 1/(tan(5x))

\int \frac{1}{tan ( 5 x )} d x

integral of (x^2-10x+24)ln(x)

\int (x^{2} - 10 x + 24) ln (x) d x

tangent of f(x)= 1/(2+3x),(1, 1/5)tangent of

f (x) = \frac{1}{2 + 3 x}, (1, \frac{1}{5})

laplacetransform e^{-2t}t laplace transform

e^{- 2 t} t

Frequently Asked Questions (FAQ)

What is the derivative of 3cos(2x+sin(2x)+4) ?
The derivative of 3cos(2x+sin(2x)+4) is 2cos(2x)-6sin(2x)
What is the first derivative of 3cos(2x+sin(2x)+4) ?
The first derivative of 3cos(2x+sin(2x)+4) is 2cos(2x)-6sin(2x)