Derivative of cos x
The derivative of cos x can be found using the chain rule and the derivative of the sine function
The derivative of cos x can be found using the chain rule and the derivative of the sine function.
The derivative of cos x can be written as:
d/dx(cos x) = d/dx(sine of (π/2 – x))
Using the chain rule, we can rewrite this as:
d/dx(sine of (π/2 – x)) = cos(π/2 – x) * d/dx(π/2 – x)
The derivative of (π/2 – x) with respect to x is -1.
Therefore, the derivative of cos x is:
d/dx(cos x) = -sin(π/2 – x)
Since sin(π/2 – x) = cos x, we can simplify this to:
d/dx(cos x) = -sin x
So, the derivative of cos x is -sin x.
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