What is the derivative of sin(x*2+2x+3) ?

The derivative of sin(x*2+2x+3) is cos(4x+3)*4

What is the first derivative of sin(x*2+2x+3) ?

The first derivative of sin(x*2+2x+3) is cos(4x+3)*4

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derivative of

sin (x \cdot 2 + 2 x + 3)

cos (4 x + 3) \cdot 4

Solution steps

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

Simplify

sin (x \cdot 2 + 2 x + 3) : sin (4 x + 3)

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

Apply the chain rule:

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

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

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

= cos (4 x + 3) \cdot 4

\frac{10}{( x + 5 ) ^{2}}

f (x) = lo g_{2} (x) - 1

12 cos^{2} (t)

\frac{1}{x ( x ^{2} + e ^{x} )}

cos (\frac{x}{x + 1})

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