Is #f(x)= sin(x+(3pi)/8) # increasing or decreasing at #x=pi/12 #?
1 Answer
Feb 19, 2017
The function
Explanation:
The growth or decrease of a function is given by the sign of its first derivative. If the derivative is positive, the function is increasing, whereas if the derivative is negative, the function will be decreasing.
Therefore, we first calculate the derivative of
and then we substitute the value of
Given that:
then
and, therefore, the function is increasing at