1- Calculate R6 for f(x) = 9 10x on interval [2, 4].

Q: Differentiate: y = (2a° – 4x² + 8)* (2² – 5e³*)²

A: Product Rule of Differentiation : ddx(uv) = ddx(u) · v + u · ddx(v)

Q: 6) Differentiate: a) f(x)= 5x-3 +1)

A:

Q: f(x+h) = √x+htt' - √XTY'

A: Given:- fx+h-fxh=x+h+4-x+4h

Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: Find the criticial numbers for f(x) = xlnx

A: Given, The function is f(x) = x lnx

Q: Suppose f(r)=1+3r^2. Evaluate the function for each of the following values of its argument: 1. with…

A: Find the function by substituting the given arguments.

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: 1olvsrled bne 7. Find the difference quotient f(x+h}-f(x) for the function f(x) = x2 - 1. h

A: For the solution follow the next step.

Q: Find the range of the function f(x) = 1/3x-5, if the domain is { -3, 0, 6}

A: f(x)=13x-5Domain is -3,0,6substitute x=-3f(-3)=13(-3)-5=1-9-5=-114

Q: for the function f(x)= (x+1)/(x^2+3), evaluate and simplify the following a. f(-1) b. f(2a) c.…

A: Explanation of the solution is given below..

Q: For the problem, find a.  f of g  b. g of f  c. f of f d. g of g f(x) = 3x+1 and g(x) = x^2

A: To determine the expressions for the composite functions.

Q: 01. Plot the function (x) = x" -3x° +10x" – x - 2 for -65x56 , Draw the function as a solid blue…

A: x=-6:0.01:6;f=@(x)(x^4-3*x^3+10*x^2-x-2);for i=1:length(x)…

Q: for which value of 'a' the function 5x3 – 625, x5

A: As  we know that; If the function is continuous at x=a then;…

Q: f (x) = 2 – 25 V – 4x + 3

A:

Q: Evaluate the following: 1. f(-2)= 2. f(-1)= 3. f(5)= f(x) = 2 x² + 2x x + 3 if x -1.

A:

Q: Let f(x) = x^2/√x−10 + 1/2x−30. Find the domain of f

A:

Q: Find the intervals where f(x) = x* + 2x3 – 3x2 – 4x + 4 increases

A: