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1. Find the average rate of change of the function f(x)=x2−3x+7 from x=240x=5. 2. Let f(x)=3x2−1. (i) Find the derivativ
Posted: Thu Jul 14, 2022 4:25 pm
by answerhappygod
- 1 Find The Average Rate Of Change Of The Function F X X2 3x 7 From X 240x 5 2 Let F X 3x2 1 I Find The Derivativ 1 (30.17 KiB) Viewed 45 times
1. Find the average rate of change of the function f(x)=x2−3x+7 from x=240x=5. 2. Let f(x)=3x2−1. (i) Find the derivative f′(x) using the definition of derivative. (ii) Use (i) and find f′(2). (Hint: Plug x=2 in f′(x) ). (iii) What does the number f′(2) represent? (iv) Find the point (x,y)=(2,f(2)). Then find the equation of tangent line to the curve f(x)=3x2−1 at the point (x,y)=(2,f(2)). [Hint: For the equation of tangent line use the point slope formula y−y1=m(x−x1). The value of slope (m)=f′(2) is in part (iii)].