Assume f is differentiable for all x. The signs of f' are as follows.
f'(x) {greater than sign} 0 on (-infinity,-40
f'(x) {less than sign} 0 on (-4,6)
f'(x) {greater than sign} 0 on (6, infinity)
Supply the appropriate inequality for the indicated value of c. (The sign goes inbetween the { marks)
Function
g(x)=f(x)+5
Sign of g'(c)
g'(0) { } 0
I think this question might involve moving the graph. If I take f(x) and move it up five....at least I think I should move it up five... will the derivative still have the same sign? Any ideas of what to do are greatly appreciated. Thanks for your help!!