Using the definition of the derivative to calculate the derivative of f(x) = x2 + 7x...
Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. f(x) = 3 + x2: f'(- 9), F 'O), f (9) Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. 4 96) = 3. g'(-2), g'(4), g(6) o't)= dx if y = 7x3 dy || s={3 - 4+, t= -6 s'(t)= 0 ne indig y=f(x)= 3 + 14-x, (x,y)= (0,5) The derivative of...
Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x2 + x - 1 the definition of the derivative f'(x) = lim f(x+h)-f(x) h h-0 What is the slope of tangent line to this curve at x = -1?
Question Help specified Using the definition, calculate the derivative of the function. Then find the values of the derivative as - f(-2)-0 f(x) = 5 + x2: f'(-2). (O).(2) 0-0 (2)
Please circle all 4 answers in order. Thanks. the derivative as specified. Using the definition calculate the derivative of the function. Then find the values of pe=Q f(x) = 1 + x2, f'( -8), f'(o), P (9) p(-8)=0 f(0) = 0 P(9)=
11. a) Find the derivative of f(x) by using the definition of derivative: lim f(x+4x) - f (x ) Ax0 Ar f(x) = 4x² +8 Make sure you show all your work clearly and neatly!!! If steps are not clearly written you will not receive any credit. (9 points) f'(x) = b) Check your answer from part (a) by finding the derivative of f(x) = 4x² +8. (1 pts) f'(x)= c) What is the instantaneous rate of change of the...
D1.1. Evaluate f'(a) by using the definition of derivative of a function f(x) = 4x2 + 3x – 5 at a = -2. [4 Marks] D1.2. (a) Find the derivative of y = 4 sin( V1 + Vx). (b) If y = sin(cos(tan(x2 + 3x – 2))), then find the first derivative. [3 Marks] D1.3. Using logarithmic differentiation, find the derivative of y = (sec x)+”.
4) (5 points) Use the definition of the differentiation to find the derivative of f(x) x2 +3x. 4) (5 points) Use the definition of the differentiation to find the derivative of f(x) x2 +3x.
2. Given f(x)=e*: (a) Find f'(x) using the definition of derivative, f'(x)= lim{{(x+h)-f(x)), by making h smaller and smaller. Round answer to two decimal places. (b) Evaluate f (1). (c) Carefully, graph f(x)=e-*, -15x52 using points every 0.5 units. (d) Find the equation of the tangent line at x = 1. Attach the graph of this line to the graph in (c).
- 2X1 - 2M h C2X ng the following definition of a 18. Find the derivative [f'(x)] of the function f( derivative: f(x+h)-f(x) P(x) =" + tumb* (x2+2x1h+ h2) Page 6 of 7 7x + 2 x ht! h² Ś3
Find the derivative of the following function. f(x) = (2x - 3)(3x4 +7x) f'(x) = 2(3x4 + 7x)+(2x - 3)(12x3 +7) f'(x) = 2 + (12x3 + 7) f'(x) = 2(12x3 + 7) f'(x) = 2(3x4 +7x) – (2x - 3)(12x3 + 7)