Evaluating derivatives Evaluate and simplify the following derivatives.
29.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Calculus: Single Variable, Early Transcendentals and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition) (Briggs, Cochran, Gillett & Schulz, Calculus Series)
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus: Mathematics for Calculus - 6th Edition
University Calculus: Early Transcendentals (3rd Edition)
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
University Calculus: Early Transcendentals, Single Variable (3rd Edition)
Calculus: Early Transcendentals (2nd Edition)
- Determine whether each of the following statements is true or false, and explain why. The derivative of a sum is the sum of the derivatives.arrow_forwardDetermine whether each of the following statements is true or false, and explain why. The derivative of a product is the product of the derivatives.arrow_forwardDetermine whether each of the following statements is true or false, and explain why. The derivative of a quotient is the quotient of the derivatives.arrow_forward
- Use the rules for derivatives to find the derivative of each function defined as follows. y=-7x2e-3xarrow_forwardDetermine whether each of the following statements is true or false, and explain why. The derivative of 3 is 32.arrow_forwardTemperature The graph shows the temperature in degrees Celsius as a function of the altitude h in feet when an inversion layer is over Southern California. See Exercise 43 in the previous section. Estimate and interpret the derivatives of T(h) at the marked points.arrow_forward
- What is the composition of two functions, fg ?arrow_forwardd Va+2-3) is.. de Evaluate this derivative however you like. 0 3(x+2)2/3 3(x+2)2/3 3+ 2 1. 3(x + 2)2/3arrow_forwardFind the derivative of the function y = 4 sec¯¹ (x + 2). (Use symbolic notation and fractions where needed.) y = 3.8 Homework 4arrow_forward
- Derivative. Please explain.arrow_forwardFind the derivative of the function. 2 + 2arrow_forwardInstruction: Prepare one (1) crayon or colored pencil and a bond paper. Copy the table of answers on the next page. Find the derivatives of the following functions. Locate the derivative in the table of answers and color the box of the answer. Keep working until you have colored five answers in a line horizontally, vertically or diagonally. (BINGO!) You win. i. f(x) = 5x³ – 3xs j. y = (2x + 3)? k. f(x) = (x +5? I. y = x²(x³ – 1) a. y = x? – x +1 b. f(x) = 2x+1 С. у %3 (3х — 1)(2х +5) d. g(x)= x³ – 3x² + 2 2x+5 2x e. y = m. f(x) = 3x-2 3x+1 f. y = (2x² + 2)(x² + 3) x+1 n. y = 1 o. f(x) = (x – 2)(x + 3) g. f(x) = x-1 h. y = x3 – 4x? – 3x Table of answers 1 2x + 2х -1 -(2x² + 2) 2х- 2х-3 19 Зх - 2 (x + 1)-2 -4x 3(x² + 3x)² 12x - 7 4x (x² – 1)² 5x4 - 2х 6x3 8х + 12 2 — 6х? 8x3 + 16x (3x² + 1)² 2x 15(x² – x*) 3x2 - 8x 3x2 6x - 3 -19 (1 – x²)² 1-х2 (3х — 2)2 2(x +? 12x + 13 2x +1 -2 (2x + 1)2 (x² + 1)²arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,