Have you never seen / used when fractions are written?Angela16 said:how to differentiate the following with respect to x
x:cos2x
thanks for ur help,
sorry that i couldn't write it in a fraction form
The derivative of cos2x is -2sin2x.
Differentiating cos2x allows us to find the rate of change of a function, which is useful in many applications such as optimization and physics problems.
The chain rule is a method used to find the derivative of a composite function. In the case of cos2x, we first take the derivative of the outer function (cosx) which is -sinx, and then multiply it by the derivative of the inner function (2x) which is 2. This gives us the final derivative of -2sin2x.
Yes, cos2x can also be differentiated using the quotient rule, which is used for finding the derivative of a function divided by another function.
The same method can be used to differentiate other trigonometric functions such as sin2x, tan2x, and cot2x.