Compute the given derivative: 6. (5x-74 7. Find the limit: lim ho h+ 22 h -...
The limit lim h 10 /36 + h – 6 h represents the derivative of some function f(x) at some number a. Find f and a. f(x) = a =
Find the value of the limit below. lim [6 – 5(x + Ax)]2 - (6 - 5x)2 Ax = 0 Δx Specify the function f for which this is the derivative. f(x) =
Problem 4. Find the derivative of the faction yan" - VI Problems. Find the derivative of the function y=sin( 2.1) Problem 6. Find the derivative of the function (x) - sinh(x'). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. (a) lime (b) lim ( sinx Inx) I Problem 8. Sketch the graph of a functionſ that is continuous on [1, 5] and has absolute minimum at 2, absolute maximum at 3, local minimum at 4. Problem 9. Sketch...
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...
Referring to the graphs given below, use properties of limits to find each limit. If a limit does not exist then state that it does not exist. y = f(x) y = g(x) lim f(x)= lim g(x) = f(x) x- lim x+0 g(x) lim lim g(x) = lim [f(x)+g(x)] = x-1 lim f(x) = lim g(x) = lim --+ f(x) h- h derivative of f(x) = 2x² + 3x is f'(x) = 4x +3. The steps are what count here!...
Find the limit of the following. lim (V9x2 + 7x - V9x2 – 3x) lim (9x2 +7x - V9x2 - 3x) - X-00 (Simplify your answer.) t + 3t - 208 Find lim -13 - 169 + + 3t - 208 lim 1-13 - 169 (Type an integer or a simplified fraction.) Define f(7) in a way that extends f(s)= S-343 2 to be continuous at s = 7. s -49 f(7)- (Type an integer or a simplified fraction.) x+5...
Given that lim f(x) = - 8 and lim g(x) = 7, find the following limit. x2 X2 lim [4f(x) + g(x)] X2 lim [4f(x) + g(x)] = X2 (Simplify your answer.)
4. Find the following limits. 473 + 5x² - 2x+2) 273 - 2x + 100 203 - +3 (b) limz+03,3 - 2x2 – 3x + 2 (a) limz+ f (x +h)-f(x) 5. Find the derivative using the definition /' () = lim-0- (a) f(x) = 22 - 2 (b) f(x) = 2x + 3 6. Find the derivative using the formula including product rule and quotient rule (Don't use the definition in # 5) 3.- 2 (a) f(x) = 33...
Find the limit and show steps if doesn't exist please
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(a) lim -3.x2 + 8 X400 5x2 + 12x (b) lim 3 + 7:22 2x – 9 0-00 Use the limit definition of the derivative to find f'(x) if f(x) = x2 + 50.
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)