d/dx(sinx)
To find the derivative of sin(x) with respect to x, we can use the chain rule
To find the derivative of sin(x) with respect to x, we can use the chain rule.
The chain rule states that if we have a function f(g(x)), then the derivative of f(g(x)) is equal to f'(g(x)) * g'(x).
In this case, sin(x) is the outer function, and x is the inner function.
So, let’s start by finding the derivative of the outer function sin(x). The derivative of sin(x) is cos(x).
Next, let’s find the derivative of the inner function x. The derivative of x with respect to x is 1.
Now, we can apply the chain rule and multiply the derivatives together.
d/dx(sin(x)) = cos(x) * 1
Therefore, the derivative of sin(x) with respect to x is equal to cos(x).
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