- 9 1 Points Details Scalcet9m 2 8 044 Ask Your Teacher The Graph Of F Is Given State The Numbers At Which F Is Not 1 (56.32 KiB) Viewed 49 times
Find the derivative of the function using the definition of derivative. f(t)=9.5t2+4t f′(t)= State the domain of the function. (Enter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.)
Show that the function f(x)=∣x−5∣ is not differentiable at 5 . We have f(x)=∣x−5∣={ if x≥5 if x<5 The right-hand limit is x→5+limx−5f(x)−f(5)= and the left-hand limit is x→5−limx−5f(x)−f(5)= Since these limits are not equal, f′(5)=x→5limx−5f(x)−f(5) does not exist and f is not differentiable at 5. Find a formula for f′ and sketch its graph. f′(x)={ if x>5 if x<5
Find the derivative of the function using the definition of derivative. f(x)=x3−9x+9 f′(x)= State the domain of the function. (Enter your answer in interval notation.) State the domain of its derivative. (Enter your answer in interval notation.) [-12 Points] SCALCET9M 2.8.053. Use the definition of derivative to find f′(x) and f′′(x). f(x)=4x2+2x+2
(i) (a) f′(−3) (b) f′(−2) (c) f′(−1) (d) f′(0)