d/dx sin x
To find the derivative of the function f(x) = sin(x), we will use the differentiation rules
To find the derivative of the function f(x) = sin(x), we will use the differentiation rules. In this case, we will use the chain rule.
The chain rule states that if we have a composition of functions, f(g(x)), then the derivative is given by the product of the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function.
In the case of f(x) = sin(x), the outer function is sin(x) and the inner function is x. We know that the derivative of sin(x) with respect to x is cos(x) (this is a standard result that you may have learned before). Therefore, applying the chain rule, we have:
d/dx sin(x) = cos(x) * d/dx x = cos(x) * 1 = cos(x).
In summary, the derivative of sin(x) with respect to x is cos(x).
More Answers:
How to Find the Derivative of the Cosine Function | Understanding and Using the Chain Rule.The Quotient Rule | Finding the Derivative of the Tangent Function (tan x)
Understanding Higher Order Derivatives | Exploring Velocity, Acceleration, and Jerk in Calculus