Find the derivatives of the function. f(x) = x² +3x. a) Find the derivative using rules. b) Find the derivative using the definition of the derivative. f(x+h)- f(x) , (i.e. f"(x) = lim h

Which is a correct formula for finding the derivative of the product of two functions a and b? O (ab)'= a'b' (ab)' = a'b + ab' (ab)'= a'+b' Use the correct formula above to find the derivative of the function f(x) = (x³ + 5)√x. Question Help: Message instructor Submit Question

3x2+7 Let h( x Calculate the derivative and simplify. 4+5x

Instruction: 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)²