What is the derivative of sin(x+sin(4x)) ?

The derivative of sin(x+sin(4x)) is cos(x+sin(4x))(1+cos(4x)*4)

What is the first derivative of sin(x+sin(4x)) ?

The first derivative of sin(x+sin(4x)) is cos(x+sin(4x))(1+cos(4x)*4)

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derivative of

sin (x + sin (4 x))

cos (x + sin (4 x)) (1 + cos (4 x) \cdot 4)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x + sin (4 x)) = 1 + cos (4 x) \cdot 4

= cos (x + sin (4 x)) (1 + cos (4 x) \cdot 4)

y^{^{'}} = (1 - 2 x) y^{2}

n = 1 \sum \infty \frac{1 5 ^{n}}{n !}

\frac{d}{d x} (4 x e^{2 x})

\frac{d}{d x} (x, y)

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

What is the derivative of sin(x+sin(4x)) ?
The derivative of sin(x+sin(4x)) is cos(x+sin(4x))(1+cos(4x)*4)
What is the first derivative of sin(x+sin(4x)) ?
The first derivative of sin(x+sin(4x)) is cos(x+sin(4x))(1+cos(4x)*4)