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1 2) (15 pts) Given g(x) g(x+h)-g(x) use the formula g'(x) = lim 6x+3' h0 h...
1 use the formula g'(x) = lim 9(x+h)-g(x) to find g'(x). 2) (15 pts) Given g(x)...
1 use the formula g'(x) = lim 9(x+h)-g(x) to find g'(x). 2) (15 pts) Given g(x) = h-0 h 6x+4'
3) (15 pts) Given h(x) = -5x2 + 3x + 2, find the equation of the...
3) (15 pts) Given h(x) = -5x2 + 3x + 2, find the equation of the tangent line at x = -2. (Hint: For the tangent line at x = a, find f(a), and f'(a).)
Given that lim f(x) = 3, lim g(x) = 0, and lim h(x) = 5, find...
Given that lim f(x) = 3, lim g(x) = 0, and lim h(x) = 5, find the limits that exist. Enter DNE if the limit doesn't exist help (limits) (a) lim f(x) + h(x)] = 8 (b) lim{f(x)} = 9 (c) lim yh(x) = 5^(1/3) help (limits) !!! help (limits) help (limits) In help (limits) help (limits) f(3) (2) (9) lim !!! help (limits) 3-a g(x) 2f(x) !! help (limits) h(x) - f(x)
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + co...
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + cos x y sin(cos x) y= sec(1 +x2) x cos y + sin 2y xy Use an Implicit Differentiation] 3. Find y" if x, y,6-1. [Use Implicit Differentiation] 4. Find an equation of the tangent to the curve at the given point. 121 12+ 1 [Use Implicit Differentiation] 4. Find the points on the ellipse x2 + tangent line has...
2. Given f(x)=e*: (a) Find f'(x) using the definition of derivative, f'(x)= lim{{(x+h)-f(x)), by making h...
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).
f(x+h)-f(x) Find if f(x)=3x2 + 5x-18 h O A. 6x+5-3h 0 B. 6x +5+h 0 C....
f(x+h)-f(x) Find if f(x)=3x2 + 5x-18 h O A. 6x+5-3h 0 B. 6x +5+h 0 C. 6x+5 O D. 6x + 5+ 3h
fr + h)-f(x) Find h for the given function. f(x) = 3x2-x+1 O 6x + 3h...
fr + h)-f(x) Find h for the given function. f(x) = 3x2-x+1 O 6x + 3h - 1 Oh o 3h2 +6hx - h O1 O 3 - 1
line response. lin0g(x).-3. Namethelimitruiesthatareusedto steps (a) (b), and (c) of the following calculation. x-0 (f(x) +15) 1/2 (b) lim -f)- lim 3gt)(1 lim fix) -3 lim g) lim (-1f(x) -3g(x)) l...
line response. lin0g(x).-3. Namethelimitruiesthatareusedto steps (a) (b), and (c) of the following calculation. x-0 (f(x) +15) 1/2 (b) lim -f)- lim 3gt)(1 lim fix) -3 lim g) lim (-1f(x) -3g(x)) lim (f(x) 15) x--0 (c) x-0 x--0 lim fx)+lim 15)1/2 l (y 15)12( ( 15)1/2 A) (a) Difference Rule (b) Power Rule (c) Sum Rule B) (a) Quotient Rule C) (a) Quotient Rule D) (a) Quotient Rule (b) Difference Rule (c) Constant Multiple Rule (b) Difference Rule, Power Rule (c)...
Given that lim F(x) = 0 lim g(x) = 0 lim h(x) = 1 Jim P(x)...
Given that lim F(x) = 0 lim g(x) = 0 lim h(x) = 1 Jim P(x) = lim (x) = .. evaluate the limits below where possible. (If a limit is indeterminate, enter INDETERMINATE.) (a) lim [fix)] lim [F(x)] X (c) lim [h(x)]04) 8 [(x)] X lim P(x)] 20 X (1) lim "P(x) X Enhanced Feedback Please try again, keeping in mind that the indeterminate cases are 0.9, 03.00,60,1", and " - .. Need Help? Read It Talk tea Tutor...
1. Calculate f(x + h) 2. Calculate f (x+h)-f(x) 3. Simplify f(a+h)-f(x) 4. finish up with...
1. Calculate f(x + h) 2. Calculate f (x+h)-f(x) 3. Simplify f(a+h)-f(x) 4. finish up with the limit Given f(x) = x2 - 12x, use lim f(x + h) - f(x) to find the slope of a tangent line this this function when x= 3. h
1 use the formula g'(x) = lim 9(x+h)-g(x) to find g'(x). 2) (15 pts) Given g(x) = h-0 h 6x+4'
3) (15 pts) Given h(x) = -5x2 + 3x + 2, find the equation of the tangent line at x = -2. (Hint: For the tangent line at x = a, find f(a), and f'(a).)
Given that lim f(x) = 3, lim g(x) = 0, and lim h(x) = 5, find the limits that exist. Enter DNE if the limit doesn't exist help (limits) (a) lim f(x) + h(x)] = 8 (b) lim{f(x)} = 9 (c) lim yh(x) = 5^(1/3) help (limits) !!! help (limits) help (limits) In help (limits) help (limits) f(3) (2) (9) lim !!! help (limits) 3-a g(x) 2f(x) !! help (limits) h(x) - f(x)
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + cos x y sin(cos x) y= sec(1 +x2) x cos y + sin 2y xy Use an Implicit Differentiation] 3. Find y" if x, y,6-1. [Use Implicit Differentiation] 4. Find an equation of the tangent to the curve at the given point. 121 12+ 1 [Use Implicit Differentiation] 4. Find the points on the ellipse x2 + tangent line has...
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).
f(x+h)-f(x) Find if f(x)=3x2 + 5x-18 h O A. 6x+5-3h 0 B. 6x +5+h 0 C. 6x+5 O D. 6x + 5+ 3h
fr + h)-f(x) Find h for the given function. f(x) = 3x2-x+1 O 6x + 3h - 1 Oh o 3h2 +6hx - h O1 O 3 - 1
line response. lin0g(x).-3. Namethelimitruiesthatareusedto steps (a) (b), and (c) of the following calculation. x-0 (f(x) +15) 1/2 (b) lim -f)- lim 3gt)(1 lim fix) -3 lim g) lim (-1f(x) -3g(x)) lim (f(x) 15) x--0 (c) x-0 x--0 lim fx)+lim 15)1/2 l (y 15)12( ( 15)1/2 A) (a) Difference Rule (b) Power Rule (c) Sum Rule B) (a) Quotient Rule C) (a) Quotient Rule D) (a) Quotient Rule (b) Difference Rule (c) Constant Multiple Rule (b) Difference Rule, Power Rule (c)...
Given that lim F(x) = 0 lim g(x) = 0 lim h(x) = 1 Jim P(x) = lim (x) = .. evaluate the limits below where possible. (If a limit is indeterminate, enter INDETERMINATE.) (a) lim [fix)] lim [F(x)] X (c) lim [h(x)]04) 8 [(x)] X lim P(x)] 20 X (1) lim "P(x) X Enhanced Feedback Please try again, keeping in mind that the indeterminate cases are 0.9, 03.00,60,1", and " - .. Need Help? Read It Talk tea Tutor...
1. Calculate f(x + h) 2. Calculate f (x+h)-f(x) 3. Simplify f(a+h)-f(x) 4. finish up with the limit Given f(x) = x2 - 12x, use lim f(x + h) - f(x) to find the slope of a tangent line this this function when x= 3. h
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