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

What is the slope of the tangent line to the function: f (x) = In (2 x² + 2 x – 11) at the point P(2,0)? m = Find the equation of the tangent line to the point P(2,0).The answer should be written in slope-intercept form. y = symbolic formatting help

Solve the problem. 2) The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. (-3,2) +++++ (-5,0) (3,5) 4++ (0, -1) (6,5) ++ X ←

I need help with finding the derivative of the functions. Explanation (step by step) would be nice.

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

The function  H gives the height, above the ground, of a point on a spinning wheel. The function A gives the height of a point on a different spinning wheel and is defined by A(t)=1.2H + 3 . Here, t, is time in seconds since the wheels started moving. How does the spinning wheel modeled by function A compare to the wheel for H? Explain how you know.