ddx cosx
To find the derivative of cos(x), we can use the chain rule
To find the derivative of cos(x), we can use the chain rule.
The chain rule states that if we have a composition of functions, the derivative is found by multiplying the derivative of the outer function with the derivative of the inner function.
In this case, we have the function f(x) = cos(x), where the outer function is f(x) = cos(x) and the inner function is x.
The derivative of the outer function, cos(x), is found using the derivative of the cosine function, which is -sin(x).
The derivative of the inner function, x, is simply 1.
Now, we can apply the chain rule: d/dx(cos(x)) = d/dx(-sin(x)) * d/dx(x).
Since the derivative of -sin(x) is -cos(x) and the derivative of x is 1, we can simplify the expression:
d/dx(cos(x)) = -cos(x) * 1.
Therefore, the derivative of cos(x) is -cos(x).
More Answers:
Solving for sin^-1(-1): Understanding the Angle Whose Sine is -1 in MathExploring the Value of cos^(-1)(1): Understanding the Inverse Cosine Function and Its Restricted Range
Mastering the Chain Rule: How to Differentiate the Function f(x) = sin(x) with Respect to x