1. On what instance does the Chain Rule of differentiation applicable? Explain briefly. 2. How does the Chain Rule help you solve the derivatives of composite functions? Elaborate your answer.

Q: On which derivative rule is the Substitution Rule based? Choose the correct answer below. O A. The…

A: Substitution rule:

Q: Topic is numerical differentiation Evaluate the derivative if a = 68, b = 0.4, and c = 5 at x = 2…

A: Introduction: Through numerical approximation, we can approximate the value of the derivative of a…

Q: d the derivative of 5xe -5ex

A: Dear student, since you have posted two questions, as per our policy we will answer first question.…

Q: 1 16) f(x) = x2 - 1 %3D

A: First we simplify then apply chain rule of differentiation for the first derivative  Then apply…

Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: This is a problem related to practical application of the derivatives. Please find the procedure…

Q: Question: What kinds of function behavior would result in the function f not having a derivative at…

A: Answer

Q: Find the derivative of y = (-4x - 9)csc (x). Be sure to include parentheses around the arguments of…

A:

Q: 5. Consider the function { Va if 01 f (x) = What is the derivative function for f(x)? What is the…

A: The given piecewise function is  f(x)=xif 0≤x≤112x+12if x>1

Q: Can you help me step by step?

A: Consider the given function.

Q: 1 5 Find the derivative of y =x° + 3 Give your answer with positive exponents.

A:

Q: Find the equation of the tangent to the graph at the indicated point. HINT [Compute the derivative…

A:

Q: what is Higher Order Derivatives in your own? brief answers only.

A: Higher order derivative(notation)dnfxdxn  Where n=1,2,3,4,....

Q: a. Determine the derivative of k(x) = (-2x* + 3x - 4)(x" – x- 1). Simplify your answer. b. What is…

A: The detailed solution is given below. Thank you

Q: True or false? A function does not have a derivative at x if its left hand derivative is not equal…

A: True or false for the given statement A function does not have a derivative at x if it's left hand…

Q: 11. Given the function below, what is its derivative? * f(x) = 2x - √x f'(x) = 2x C f'(x) = 2 - a 1…

A:

Q: What is the purpose of Derivatives in Physics and Find the derivative of the functions x-1 3. X-2…

A:

Q: (Hint: logarithmic differentiation)

A: As this is a multiple question according to the Bartleby Answering rule, only first question and its…

Q: 2. What is implicit differentiation? When do we use it? Give examples.

A: What is implicit differentiation and when do we use and give examples

Q: 2. Find the derivative y' for each function/curve. Once you solve for y', you do not need to…

A:

Q: 1. Find the first derivative of the following functions of x: (а) y = 3x-4 – 2x-3 (b) y = (2x-2 +…

A: derivative

Q: Show your solution applying Quotient and product rule

A: The product rule of differentiation is used for differentiating the product of 2 functions by the…

Q: CL Activity # 4 # 19 III. Find the derivative of the following using implicit differentiation. 19. e…

A:

Q: Question 1 Find the derivative of g(x) = 3 cos™' (x) at the point x = 4 %3D %3D (Enter an exact…

A:

Q: Find the derivative of the given function: ans: 2 sec2(2x)

A:

Q: belov are four types of functions. VWnich does not possess a derivative of the same type? a)…

A: To find which function does not possess a derivative of the same type?

Q: f (x) = 1

A:

Q: Find the second derivative of h(x) = 6(?3 + 4)3

A: Solution : The objective is to find the second derivative of the given function

Q: Physicists sometimes have to compute derivatives of the following form: (1) o2 – 1 do do Use the…

A:

Q: 3.) у %3D е2х-3

A: Derivative of a function: The derivative of a function y=f(x) .of a variable x is a measure of the…

Q: (10) Use logarithmic differentiations to find the derivative of (За? — 2)5 (2x35)7(41)-11 y

A: The given function is

Q: On which derivative rule is the Substitution Rule based? Choose the correct answer below. O A. The…

A: Substitution rule:

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) =…

A: Given: fx=x+2x-22=y To find the slope of tangent line at point (6,4) ,we need to find the value of…

Q: 3. Match the graph of each function in (a)-(d) with the graph of its derivative in I-IV. Give…

A: We know that graph of derivative is the slope of tangent of the function.

Q: Runge-Kutta methods of order 2 give accuracy more than Euler but have the same problem of finding…

A: TRUE

Q: Which of the following best describe/s the derivative of a function? I. The slope between any two…

A: Given function f(x)=x+3,x<3cx2+10,x≥3 The objective is to find the value of c so that the given…

Q: 1. The graph of function f(x) is given. Sketch the graph of the derivative function f'(x) below the…

A: We will sketch the graph of f'(x) as following. And also the question you asked is answered down…

Q: 4. Find the second derivative of the function. Simplify if possible. f (1) = 2+5

A: topic - derivative

Q: 3. Give an example of a situation in which composite differentiation might be used. Give examples of…

A:

Q: Find y"by implicit differentiation of x3 + y3 = 1.

A: x3+y3=1 ddxx3+y3=ddx(1) 3x2+3y2dydx=0 dydx=-x2y2

Q: To compute the derivative of 2cosx with the chain rule by writing this function as a composition…

A: Consider the two functions f(u) and g(x). Find the composite function f(g(x)) and thus the outer…

Q: b) In general, what is the derivative – 2) = Check your answer from a) by means of classic rules of…

A: We have to find derivative

Q: d the der

A: Introduction: The formula of first principal of derivatives is given by, f'(x)=limh→0f(x+h)-f(x)h…

Q: 2. Given the function f(x) = 2x² + 3x + 1, a. Use the secant method to find the instantaneous rate…

A:

Q: 0 1 2 3 3 4 y 1 According to the table, which of the following is the value of y'(1) calculated with…

A: f'(x)=f(x)-f(x-h)h is known as Two-point Backward difference formula we have  x 0 1 2 3 y=f(x)…

Q: 9. [Essay] Find the derivative of y * sign 3a* (x? – 3x + 1).

A: Given function is: y=3axx2-3x+1 We have to find the derivative dy/dx. We will use the following…

Q: Question:- 3. 11 13 15 12 37 25 31 42 57 Find First & Second derivative at x=3.

A: To Determine :-  The first and second derivative at x =3 by newton forward method.

Q: Example 2. Find the derivative of the following with respect to x. x" +1. (iv) x-5 (i) x12 + 7, (ii)…

A:

Q: g(e) = . Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.…

A:

Q: a- what is the difference between derivative of X^n and y^n (explain the followings: how many terms…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.