d/dx(cosx)
To find the derivative of cosine function (cosx) with respect to x, we can use the chain rule
To find the derivative of cosine function (cosx) with respect to x, we can use the chain rule. The chain rule states that the derivative of a composite function can be found by multiplying the derivative of the outer function with the derivative of the inner function.
In this case, the outer function is cosine (cosx) and the inner function is x.
The derivative of the inner function, x, with respect to x is 1.
The derivative of the outer function, cosx, with respect to its input is given by -sinx.
Therefore, using the chain rule, we can find the derivative of cosx:
d/dx (cosx) = -sinx
The derivative of cosx with respect to x is -sinx.
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