Math  /  Calculus

Questiondifferentiate cos(x).\cos (x) .

Studdy Solution

STEP 1

1. We are differentiating the function cos(x) \cos(x) with respect to x x .
2. We assume basic knowledge of differentiation rules, particularly for trigonometric functions.

STEP 2

1. Recall the differentiation rule for cos(x) \cos(x) .
2. Apply the differentiation rule to find the derivative.

STEP 3

Recall the differentiation rule for cos(x) \cos(x) :
The derivative of cos(x) \cos(x) with respect to x x is sin(x) -\sin(x) .

STEP 4

Apply the differentiation rule:
ddx[cos(x)]=sin(x) \frac{d}{dx} [\cos(x)] = -\sin(x)
The derivative of cos(x) \cos(x) is:
sin(x) \boxed{-\sin(x)}

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