QI: From the following table find the value of f'(1.2), f'(1.7) andf'(2.1) X y 1.4 4.055 1.6 4.953 1.8 6.05 2.0 7.389 2.2 9.025

Q: decimal

A: Given function is f(x) = 10ln(x)                               y = 10ln(x)           (1)  Put x =…

Q: Given the function f(x) = x³ - 3x², find x for which f'(x) = 0 1 2 2 x = 0; x = 1 4 x = 0; x = 4 3 x…

A: Given : f(x) = 1/2x^3 - 3x^2             Because f(x) = y               Now we derivative f(x) with…

Q: Consider the data below f(x) f'(x) 1.25 0.2789 1.2231 1.5 0.6082 1.4055 1.75 0.9793 1.5596 1.3863…

A: Given data is as shown below x f(x) f'(x) 1 0 1 1.25 0.2789 1.2231 1.5 0.6082 1.4055 1.75…

Q: Given: f(x) = 5x+8 %3D Find: f'(x)

A:

Q: 3 x +1 Function and h=3. Evaluate the f' (3). Also, find the two-point forward difference, two-point…

A: The given function is fx=x3+1x To find f'3. Also step size is h=3, Then find f'3 using  (a) Two…

Q: What is the range of the funcion? yA (1, 1) y = 1 (1, 1/2) X=-1

A: Given, The graph of the function We have to find the range of the function.

Q: For the following function, describe the concavity and find relative extrem using the concavity test…

A:

Q: Suppose f is a function with f(16) = 23 and f '(16) = 2. Estimate the following values of f. f(13)=…

A:

Q: Find the slope of the secant line through (2, f (2)) and (2.5, f(2.5)). Is it greater than or less…

A: From the given graph we have: f(2) = 2 f(2.5) = 2.5 The given points are: (2, f(2))  and (2.5,…

Q: Find the derivative 1. y - 12 2. y = 8x³5x² of each function defined as follows. sredin 8² +1x + 5 -…

A:

Q: If f(x) = = √2x+6, find f'(x). Find f'(2).

A:

Q: Given: f(x) = 3x-2 Find: f'(x)

A: Find your answer below

Q: What is the Average Rate of Change for the function f(x) = x² + 7x - 4 over the interval [0, 2]? You…

A: Follow the procedure given below.

Q: Determine the average rate of change of the function f(x) = 2x3 - 3x2 + 7x- 5 between x = 0 and x =…

A: We know that average rate of change of a function over an interval [a, b]  is A(x)=(f(b)-f(a))/(b-a)…

Q: 3. Given f'(x) =+ 2x³ – 1 and f(1) = 4, find f (x). 1 %3D %3D x3

A:

Q: Differentiate the function L(x) = -6e"(cscx + 7cotx). Answer L'(x) =

A: Given Equation : L(x)=−6ex(csc(x)+7cot(x))   L'(x)= derivative of L(x)

Q: The table below gives values of f(x) = ex For the data above, evaluate f ' (1.0) and f '’(1.0) with…

A:

Q: f f(x) = (x+ 1), find f'(1) 4 %3D

A:

Q: Differentiate the function. 2 f(s) : (2s7 + 5)8 f'(s) =

A:

Q: Estimate f'(2.37) from the following data X f(x) Justify your method of choice. 2.36 2.37 2.38 2.39…

A: By Newtons forward method:At x=x1, dydx=1h[∆y1-12∆2y1+13∆3y1-14∆4y1]

Q: Please see the attached image and answer the

A:

Q: Given: f(x) = 3x-2 %3D Find: f'(x)

A: Given that f(x)=3x-2. We have to find f-1(x). Let y=f-1(x). Then  f(y)=f(f-1(x))=x.

Q: Find the indicated higher derivative of the given function. y = 4x² + 9x³-5x + 6; find y". y" = ||

A: Find the double derivative of the function  y= 4x4+9x3-5x+6

Q: 1 If f(x) = , find f'(1) %3D ズ

A:

Q: After a bone is broken and set in a cast, new bone will grow in to fill the space between the broken…

A: Rate of born growth in terms of time elapsed in weeks is given as a function. We have to find the…

Exponential Growth Model

The relation that represents an exponential function is: