The derivative of f(x) + g(x) is cosx+2cos2x
Derivative : In mathematical calculus, the derivative is the rate of change of a function at a instant point.
Derivative of a function is denoted by dy/dx, where derivative of y is happening with respect to x.
We have to add f(x) and g(x), then differentiate the whole addition with respect to x.
Given that, f(x) = sin(x) & g(x) = sin(2x)
So, f(x) + g(x) = sin(x) + sin(2x)
Now, differentiating with respect to x we get,
(f(x)+g(x))' = d/dx(sinx) + d/dx(sin 2x)
= cosx+2cos2x
Derivative of f(x) + g(x) = cosx+2cos2x
Learn more about derivative here :
https://brainly.com/question/23819325
#SPJ10
