I have done all the questions for now. But, please ask only one question at a time. Or you can ask 4 questions as part of a single question.
please help me answer All of these questions. Thank you! 1. Use the limit definition of...
Thank you. - Part 1: Limit of a difference quotient Suppose f(x) = – 5. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). X - 2 (f(5 + h) – f(5) lim h0 Him ( 15 + ) - 109 ) = lim ( = lim h0 | Part 2: Interpreting the limit of a difference quotient - Part 1: The derivative at...
help me with these problems and ill give you amazing ratings!! (must do all please) 7. Answer the following questions about continuity. (a) Write down the values of z at which the following function is discontinuous. If the function is continuous at every value of z, write 'Continuous Everywhere' f(a)1 (separate multiple values by commas) (b) Write down the values of z at which the following function is discontinuous. If the function is continuous at every value of z, write...
3. Find the derivative using the quotient rule. 2e* f(x) = x-1 4. Let u and y be differentiable functions of x. Find the value of the indicated derivative using the given information. Pay careful attention to notation. du Find dx v at x =1 if u(1) = 3, u'(1)=-5, v(1)=7, v'(1)=-3
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...
please answer all the following parts neatly. thank you Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of f)-sinx (5) . On graph paper, sketch the graph of -sinx and draw a tangent line...
Please do b,c, and d. please write step by step and write legibly. thank you. 2. Definition of Derivative a) Find the slope of the tangent line to the parabola f(x) = 4x - 32 at the point a using the definition of derivative. b) Find the equation for the tangent line to f(x) = 4.c - zº if f(1) = 3. c) Find the slope of the tangent line to f(x) = (2x2 - 4) at the point a.
Please answer all or do not answer. Thank you :) The Chain Rule and Directional Derivative: (a) Calculate by the chain rule given F(x,y) = x2 + y’, x = eu+20, y=uv. ov Use the chain rule (chain rule required!) to evaluate the partial derivative. OG where G(x,y) = x2 - y2 ,x=e"cosv, y = e"sinv. ди (c) Find the directional derivative in the direction of v=<12,-5> at (2,2) for f(x, y) = exy_y? and also the directional derivative in...
please answer the following parts. thank you in advance Let's consider the problem that has given rise to the branch of calculus called differential calculus: the tangent problem. This problem relates to finding the slope of the tangent line to a curve at a given point. To understand how this is done we are going to consider the point (0,0) on the graph of-snx. (5) 1. On graph paper, sketch the graph of y-sin and draw a tangent line at...
2. Use the ε - δ definition for the limit to prove that limx→-2 (4x - 3) = -113. Use the limit definition of the derivative to find the derivative of the function f(x) = √(4x + 1)4. Find the equation of the tangent line to the curve ve y = (1 + 2x) 10 at the point (-1,1).
this is a two part question. A and B please it is one question only!!THANK YOU 5) Use the derivative of y = f(x) = x3 + 4x2 – x - 8 to a) determine the slope of the tangent line on the graph of y = f(x) at the point x = -3. b) give the equation of the tangent line to the graph of y = f(x) at x = -3.