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Popular >

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

Solution

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

Solution

- sin (4 x) \cdot 4 + cos (4 x) \cdot 4

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (cos (4 x)) = - sin (4 x) \cdot 4

\frac{d}{d x} (sin (4 x)) = cos (4 x) \cdot 4

= - sin (4 x) \cdot 4 + cos (4 x) \cdot 4

Popular Examples

10y^{''}+1000y=0

10 y^{^{''}} + 1000 y = 0

(\partial)/(\partial u)(2sin(u)cos(v))

\frac{\partial}{\partial u} (2 sin (u) cos (v))

area y=4(x+1),y=5(x+1),x=7 area

y = 4 (x + 1), y = 5 (x + 1), x = 7

limit as x approaches 0 of (sin(x)-cos(x)sin(x))/(x^2)

x \to 0 lim (\frac{sin ( x ) - cos ( x ) sin ( x )}{x ^{2}})

limit as x approaches 0+of (x^2+1)^{1/x}

x \to 0 + lim ((x^{2} + 1)^{\frac{1}{x}})

Frequently Asked Questions (FAQ)

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