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Calculus & Its Applications plus MyLab Math with Pearson eText -- Title-Specific Access Card Package (14th Edition)
- Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.arrow_forwardLet f(x)=x+(1-x)^(1/2). Find the local maximum and minimum values of f using both the first and second derivative tests.arrow_forwardFind the absolute maximum and minimum values of f(x)= ln(x^2+3x+15) on the interval [-2,1]arrow_forward
- find the absolute maximum and absolute minimum values of ƒ over the interval ƒ(x) = x - 2 ln x, 1<= x <=3.arrow_forwardSolve for the derivative of the given functions using the Chain Ruleformula. Let f(x) = √(x2 + 3x + 1). Find f′(x). a.) What is the inner and the outer functions?b.) What is the derivative of the inner function?c.) What is the derivative of the outer function evaluated at the inner function?arrow_forwardLet f(x)=x+(1−x)^(1/2) Find the local maximum and minimum values of f using both the first and second derivative tests. How do I set this problem up and solve it?arrow_forward
- Let be a differentiable function such that f(3)=2.345 and f'(x)= ln(x^2+1).What is the value of f(5)?arrow_forwardThe function f(x)=(2-x)/(3) is continuous atarrow_forwardFind the value of the constant c such that the function f(x)= (x-2)/( (root 4x+1)-3) if x#2, c if x=2 is continuous at x=2arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning