What is the derivative of sin(x^2-2x+6) ?

The derivative of sin(x^2-2x+6) is cos(x^2-2x+6)(2x-2)

What is the first derivative of sin(x^2-2x+6) ?

The first derivative of sin(x^2-2x+6) is cos(x^2-2x+6)(2x-2)

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\frac{d}{d x} (sin (x^{2} - 2 x + 6))

cos (x^{2} - 2 x + 6) (2 x - 2)

Solution steps

\frac{d}{d x} (sin (x^{2} - 2 x + 6))

Apply the chain rule:

cos (x^{2} - 2 x + 6) \frac{d}{d x} (x^{2} - 2 x + 6)

= cos (x^{2} - 2 x + 6) \frac{d}{d x} (x^{2} - 2 x + 6)

\frac{d}{d x} (x^{2} - 2 x + 6) = 2 x - 2

= cos (x^{2} - 2 x + 6) (2 x - 2)

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