Dx {cos x}=?
To find the derivative of the function f(x) = cos(x), we can use the chain rule and the derivative of the cosine function
To find the derivative of the function f(x) = cos(x), we can use the chain rule and the derivative of the cosine function.
The chain rule states that if we have a composite function g(f(x)), then the derivative of g(f(x)) with respect to x is given by:
(g(f(x)))’ = g'(f(x)) * f'(x)
In this case, g(x) = cos(x), so we need to find the derivative of cos(x) first.
The derivative of cos(x) is given by:
d/dx (cos(x)) = -sin(x)
Now we substitute this back into the chain rule:
d/dx (cos(x)) = -sin(x) * d/dx (x)
Since the derivative of x with respect to x is 1, we can simplify further:
d/dx (cos(x)) = -sin(x) * 1
Finally, the derivative of cos(x) is:
d/dx (cos(x)) = -sin(x)
Therefore, dx {cos x} = -sin(x).
More Answers:
Derivative of f(x) = a^x with Respect to x Using Logarithmic DifferentiationUnderstanding and Applying the Quotient Rule in Calculus Differentiation
Derivative of Tangent Function: A Step-by-Step Guide and Formula
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded