What is the derivative of sin(x+sin(5x)) ?

The derivative of sin(x+sin(5x)) is cos(x+sin(5x))(1+cos(5x)*5)

What is the first derivative of sin(x+sin(5x)) ?

The first derivative of sin(x+sin(5x)) is cos(x+sin(5x))(1+cos(5x)*5)

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\frac{d}{d x} (sin (x + sin (5 x)))

cos (x + sin (5 x)) (1 + cos (5 x) \cdot 5)

Solution steps

\frac{d}{d x} (sin (x + sin (5 x)))

Apply the chain rule:

cos (x + sin (5 x)) \frac{d}{d x} (x + sin (5 x))

= cos (x + sin (5 x)) \frac{d}{d x} (x + sin (5 x))

\frac{d}{d x} (x + sin (5 x)) = 1 + cos (5 x) \cdot 5

= cos (x + sin (5 x)) (1 + cos (5 x) \cdot 5)

\int sin (e^{x}) d x

f (x) = 8 (2 x - 3)^{3}

\frac{\partial}{\partial y} (- x^{2} y + cos (x))

x \to 2 lim (5 π)

(- 3, 7), (6, - 8)

What is the derivative of sin(x+sin(5x)) ?
The derivative of sin(x+sin(5x)) is cos(x+sin(5x))(1+cos(5x)*5)
What is the first derivative of sin(x+sin(5x)) ?
The first derivative of sin(x+sin(5x)) is cos(x+sin(5x))(1+cos(5x)*5)