d/dx (sin x)
To find the derivative of sin(x) with respect to x, you can use the chain rule
To find the derivative of sin(x) with respect to x, you can use the chain rule. The chain rule states that if you have a composite function f(g(x)), then the derivative of f(g(x)) with respect to x is given by:
d/dx [f(g(x))] = f'(g(x)) * g'(x)
In this case, f(x) = sin(x), so f'(x) is the derivative of sin(x), which is cos(x). And g(x) = x, so g'(x) is the derivative of x, which is 1.
Now, applying the chain rule to find the derivative of sin(x) with respect to x:
d/dx (sin x) = cos(x) * 1
Simplifying, we have:
d/dx (sin x) = cos(x)
Therefore, the derivative of sin(x) with respect to x is cos(x).
More Answers:
Finding the Limit of (1-cos(x))/x as x Approaches 0 Using L’Hospital’s RuleUnderstanding the Derivative: Exploring the Rate of Change in Mathematics
Understanding the Symmetric Difference Quotient: An Alternative Approach to Calculating the Rate of Change in Mathematics
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded