comment it ASAP please
(1 point) Let f(x) = 3x - 2x + 9. Then according to the definition of...
5. (10 points) Let f(x) = -(9x² +6x+2). Then according to the definition of derivative f'(x) = lim h0 (Your answer above and the next few answers below will involve the variables x and h. We are using h instead of Ar because it is easier to type) We can cancel the common factor — from the numerator and denominator leaving the polynomial Taking the limit of this expression gives us f'(x) = 6. (10 points) Let f(x) = x3...
(a) Let f(x) = 3x – 2. Show that f'(x) = 3 using the definition of the derivative as a limit (Definition 21.1.2). 1 (b) Let g(x) = ? . Show that y that -1 g'(x) = (x - 2)2 using the definition of the derivative as a limit (Definition 21.1.2).
Let f(2) V4.1 +3. f(0) - f(a) Using the definition of derivative at a point, f'(a) = lim enter the expression needed to find the derivative at = 1. > - a f'(1) = lim 11 After evaluating this limit, we see that f'(1) = Finally, the equation of the tangent line to f(x) where x = 1 is Enter here (using math notation or by attaching in an image) an explanation of your solution. Edit - Insert Formats BI...
Let f(x) = (4x + 1)2 . Using the limit definition of a derivative f'(a) = limh→0 f(a + h) − f(a) /h find f'(0)
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
Referring to the graphs given below, use properties of limits to find each limit. If a limit does not exist then state that it does not exist. y = f(x) y = g(x) lim f(x)= lim g(x) = f(x) x- lim x+0 g(x) lim lim g(x) = lim [f(x)+g(x)] = x-1 lim f(x) = lim g(x) = lim --+ f(x) h- h derivative of f(x) = 2x² + 3x is f'(x) = 4x +3. The steps are what count here!...
Thank you. - Part 1: Limit of a difference quotient Suppose f(x) = – 5. Evaluate the limit by using algebra to simplify the difference quotient (in first answer box) and then evaluating the limit (in the second answer box). X - 2 (f(5 + h) – f(5) lim h0 Him ( 15 + ) - 109 ) = lim ( = lim h0 | Part 2: Interpreting the limit of a difference quotient - Part 1: The derivative at...
just number 16 15-42 Find the limit or show that it does not exist. 1 x2 3x 15. lim 2 16. lim 3 x00 x x +1 2x+ 1 ズ→00 4x3 6x2- 2 x-2 17. lim 18. lim x21 2x3 4x 15-42 Find the limit or show that it does not exist. 1 x2 3x 15. lim 2 16. lim 3 x00 x x +1 2x+ 1 ズ→00 4x3 6x2- 2 x-2 17. lim 18. lim x21 2x3 4x
7*). Using this definition, Derivative of a function f (x) can be expressed as f'(x) = lim ** find out the first order derivative (f'(x)) of the following functions: h 0 h f(x) = 2x2 + 4 f(x) = 2x (4 points) (4 points)
5. Use the limit definition to find the derivative of f(x) = V3x + 2. (6 points) 6. Find the derivatives of the following functions. Do not simplify after taking the derivative. 5 points each a. f(x) = (4x2 +1) c. h(x) = arcsin(3x2+ 2x-1) b. h(x) = 3sec(x2)