derivative of sinx
cosx
The derivative of sin(x) can be found by applying the chain rule and the derivative of the trigonometric function. Here is the step-by-step process:
1. Recall the derivative of sin(x) is cos(x).
2. Use the chain rule to differentiate sin(g(x)) if g(x) appears inside the sine function.
Let’s take an example:
If f(x) = sin(3x), to find the derivative, we’ll use the chain rule.
f'(x) = cos(3x) × d(3x)/dx
Here, we differentiate 3x with respect to x which gives us 3.
f'(x) = 3cos(3x)
Therefore, the derivative of sin(x) is cos(x).
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