Find slope functions, f ′(x), for the following functions: Homework Help ✎
f(x) = 7x2
f(x) = π2 (Careful!)
f(x) = 2(x − 2)4 + 18x
Use the Power Rule.If f(x)=axn, then f '(x) = naxn−1
f '(x) = 14x
Remember that π is just a number, not a variable!
Since π ≈ 3, what is the slope function of y = 32? Use that to find the slope function of f(x) = π2.
f(x) is a horizontal shift of y = 24+18x, whose slope function is easy to find with the Power Rule (see hint in part (a)). As for f(x), THINK! Since slopes will shift with the function... f '(x) will equal a shifted version of y '.
f '(x) = 8(x−2)3+18
See hint in part (a).