Compute f '(a) algebraically for the given value of a. f(x) = 6x2 + x; a = 1
f(x)=6x2+xf′(x)=12x+1f′(a)=12a+1f′(1)=12∗1+1f′(1)=13
To do this question, differentiate f(x) first.
f(x)=6x2+x
ddxf(x)=f′(x)=12x+1
f′(a)=12a+1
When a = 1,
f′(1)=12(1)+1=13