Concept explainers
Find the derivatives of the functions in Exercises 23−50.
43.
Learn your wayIncludes step-by-step video
Chapter 3 Solutions
University Calculus: Early Transcendentals (3rd Edition)
Additional Math Textbook Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus: Early Transcendentals (3rd Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus & Its Applications (14th Edition)
Glencoe Math Accelerated, Student Edition
- differential calculus: calculate up to 2nd derivativearrow_forwardFind the fifth order derivative of the function by leibnitz theoremarrow_forwardA function y = f(x) passes through the origin. If the second derivative y" = −sin (2?),determine the equation of the function. Show work to justify your answer. Prove or Disprove: the derivative of y=sinx+cosx/cosx s dy/dx = 1/(1+sinx)(1-sinx)arrow_forward
- A. Use implicit differentiation to find the derivative: sin(xy)=x6 - y B. Find the equation of the line normal to x3y-2xy2=-4 at the point (-2,1)arrow_forwardfind the equation of tangent line of function f(x)=csc(x)-cos(x)1/2 at the point ((2*3.14)/3, (4+31/2)/2(31/2))arrow_forwardExplain the derivatives and integration.arrow_forward
- verify that sinh x and cosh x are derivatives of each other. Verify: (cosh^2)(sinh^2) x = 1 sinh(x+y) = sinh x cosh y + cosh x sing yarrow_forwardUsing central difference, find the second-order derivative of y=x²cosx at x=9, h=0.1arrow_forwardDo not use derivatives. Use the formula: sin(x+y) = sinxcosy +cosxsinyarrow_forward
- Compute the first and second derivatives of the functions using the numerical equations. Solve the derivatives using backward, forward and central difference equations considering 3 and 5points.Use a step size h=0.25. #3 y = tan (x/3) at x = 3arrow_forwardWhat is the relationship between the complex differentiability and the existence of the derivative of an analytical function?arrow_forward1. Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + y2 = (3x2 + 4y2 − x)2 (0, 0.25) (cardioid) 2. Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2/3 + y2/3 = 4 (−3, √ 3, 1) (astroid)arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning