The derivative F' (t) is graphed in the figure below. Given that F (0) = 12, calculate F(t) for t = 1, 2, 3, 4, 5. 1 0 -1 -2 F (1) = i Enter the exact answers. F (2) = F (3) = F (4) = F (5) = i i i 1 i 2 F'(t) 3 4 5 t

Q: (2) Find the derivative of each of the following functions (a) f(x) = (1+x*)²/3 (b) g(x) = V1+…

A: a) We use the power rule and chain rule

Q: (b) A poll commissioned by a politician estimates thatt days after he makes a statement denegrating…

A: Given: Percentage of constituency that supports a politician is: St=75t2-3t+25t2+3t+25 Derivative of…

Q: Differentiate. f'(x) = f(x) = ax + b cx + d

A:

Q: Given f(x) = x² – 4x find and simplify f(x

A:

Q: 3x + 1 Consider the function f(x) Compute each of the following. Simplify your answer and use x - 3…

A: Given f(x)=-3x+1x-3

Q: X x + 2 A1. The functions f and g are defined by f(x) (a) Calculate f'(x) and g'(x). d (b) Calculate…

A:

Q: 2 For the function f(x)=√x² +4, find f''(x). Then find f''(0) and f''(9).

A: Given query is to find indicated derivative.

Q: Use the graph below to fill in the missing values. f(x) -1 4 f(0) = f(«) — 0, х 3 f -'(0) = f («) —…

A: To find f(0) we find y when x=0 At x=0, y=4 So, f(0)=4

Q: Find f"(x) for the function: f(x) = x – 1. -2(x– 1)-2 2(x – 1)2 O 2(x – 1)-3 -2(x– 1)

A: Derivative of a function

Q: 1. 5 Let the function s(t)- 111 x² + 10x + 15 represent the motion of a toy car as it travels near a…

A: Note: Since, the student has mentioned a typing error in the function and want to replace the x's…

Q: Graph the function Y2=nDeriv (“originalfunction”,X,X). By doing this, you’re having the calculator…

A: Please write this statement properly,  Graph the function Y2=nDeriv (“originalfunction”,X,X).    It…

Q: Differentiate the function. r(t) = (3²- + 8)i + r'(t) = (6t)i + ( 132 r'(t) = i + (6t)j r'(t) =…

A:

Q: Let f(x)= ax'+x² + bx +6 where a and b are real numbers, and f(2)=3. Find the value of f(-2).

A: f(-2) = 17  The detailed solution is as follows below:

Q: Find f(x) if f (x) = x/x given f(1) = 2. %3D

A:

Q: 4 – x2 3 – Vx2 +5

A: We need to find the 1st, 2nd, and 3rd derivative of the above expression.   4-x23-x2+5'…

Q: 2x + Vx. 4. Determine a function f (x) knowing that f"(x) = 16e¬

A:

Q: 3- Find the root of function F(x) = x² – 10 Using XL=3 , X,-4 , ɛ = 0.1

A: given function Fx=x2-10 with condition XL=3, Xu=4, εS=0.1 claim- find the roots of the function

Q: For the function f(z) 2(x – 5) + 7, which of these equations describes f '(r), the inverse of the…

A: We wil use concept of inverse function to find the answer.

Q: Let n be a positive integer. Define the function fn(z) by dzn (2²+2x+2)". Find the value of fn(-1 +…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: Determine whether the pairs of the functions are linearly inde- pendent or linearly dependent on the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: If f(2) = (3z)²a² z+2/a find and simplify f(/@). %3D

A:

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 2. Find values for F(2) and F(7) 7 + Hu…

A: