Q4:- Sketch the following functions showing the detailed steps in different graph= e) f(x) = l1 – -

Q: The above is the graph of the derivative f '(x). How many critical points does the original function…

A: From the graph of function f'(x), number of roots of f'(x) are three. Let f'(x)=ax3+bx2+cx+d

Q: Find the point on the graph of f (x) = (9x + 8)/æ + 5x (x > 0) at which the tangent line is…

A:

Q: how do you indicate the derivative with any method: g(t) = 3/t^5; estimate g'(1)

A: Write g(t) using negative exponents to get rid of the fraction. Then use exponent rule.…

Q: Q3\ Find the derivative of the following function by using the definition f(x) = x-1

A: Given function is fx=xx-1

Q: Find the point on the graph of f (x) = (3x + 9)/x + 9x (x > 0) at which the tangent line is…

A:

Q: Find the derivative of the function. h(s) = -27s2 + 9

A: topic  -  derivation

Q: 2. At x 3, the tangent line to the graph of a function f (x) is y = 4x + 5. What is f'(3)? How do…

A:

Q: 3. Below is the graph of y = f'(x), which is the derivative for some function f. Using the graph of…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Find the derivatives of the following function f(x) from the first principles x4+4

A: Form first principal of derivative, use the limit as given below and find the derivative.

Q: need fast

A:

Q: Use the guidlines to sketch the graph of the function  y=1/x + ln x

A:

Q: Find the equation of the secant line for f(x) = log2 (3x² + 2x – 1) from x = 1 to x = 3.

A:

Q: Find all possible functions with the given derivative. y = 5x -7x

A: y'=5x2-7x

Q: Find the derivative. (e^(x^3+1))^4

A: Given :

Q: Q3\Evaluate the limit or derivative using properties of logarithms where x3 d needed. dx x5+1

A: Given ddxx3x5+1

Q: Find a formula for the nth derivative y^n of the function y=(x+5)^1/2

A:

Q: Does y = e- - 2 exist? What is the domain & range of the function if it does exist?

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = f(x), evaluate…

A: Finding the g'(4) from the given conditions.

Q: Q3 / Answer one of the two following branches: A- Using L'Hopital rule for solving the following…

A: L 'Hospital Rule

Q: Q1: Find the derivative of the functions. 5- y = (csche)(1- In csche) 6- y = log3 (1 + 0 In 3) %3D

A: 5. y=cschθ1-ln cschθ6. y=log31+θ ln3

Q: For what values is the function f(x)= ln(x+1)/x^2+1 continous? Can you please explain how to…

A: If , g(x) is continuous and h(x) is continuous. Then g(x) / h(x) is continuous.where h(x) not equal…

Q: Q2. Use the definition of the derivative to find ý of the function y = sin(x). %3D

A: Here given function is  y = sin(x)

Q: Q3\ Find the derivative of the following function by using the definition f(x) = X-1

A:

Q: The tangent line to the graph of f(x)= 5-x+e^(x-1) is horizontal at what  point?

A: Calculus Question

Q: Find the point on the graph of f (x) = (3x + 9)/x + 2# (x > 0) at which the tangent line is…

A:

Q: Given the function g(x) = 8x* + 84x² + 288x, find the first derivative, g'(x). = (x),6 Notice that…

A: Since, you have ask multiple part's in the question. I am answering for first three parts. Please…

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: The Range Rf for the functionf (x) = tanhx is:

A: Range of f(x)= tanh x

Q: Choose the correct graph of the function (in blue) and its derivative (in red) below. O B. c.

A: We will use the fact that where the function has maxima and minima derivative graph will show value…

Q: Find the domain of function defined as follows. y = ln(x + 7)

A: Given       y = ln(x + 7)

Q: Assume both the graphs of ƒ and g pass through the point(3, 2), ƒ′(3) = 5, and g′(3) = -10. If p(x)…

A: Given that the graphs of ƒ and g pass through the point (3,2). So, f3=2g3=2 Also, f'3=5g'3=-10

Q: Q15: Find the derivative: f(x) = (In x)?

A:

Q: 8. 4 2

A: In this question we will use basic of calculus i.e use of tangent function. We will write the…

Q: 4)Find the inflection points of the function . f(x)=ln(x^(2)+1)

A: In this question we will find the point of inflection   we have given function   f(x)=ln(x2+1)…

Q: Q3// By using logarithmic differentiation and with respect to independent variable x, find the…

A:

Q: Q1) The dervative of the function f(x)= |x+2 using the definition of derivative is

A:

Q: Differentiate the function below y = ln ( ( etan x √(x2 +1) )  /  (x-3)5)

A: We first simplify the given function.  y=lnetanxx2+1(x-3)5y=ln(etanx)+lnx2+1-ln(x-3)5  [addition and…

Q: On the graph of f(x)=sinx and the interval [0,2π), for what value of x does the graph cross the…

A: Plot the graph of sinx given below

Q: Зх-2 2. Find the vertical and horizontal asymptotes for f(x) = V4x²+5'

A: As per guideline we can solve maximum one question you can repost other questions

Q: Q4:- Sketch the following functions showing the detailed steps in different graphs: h) f(x) = |Inx|

A: Sketch the following function showing in the given expression.  f(x) = 1/|lnx|

Q: find the instantaneous rate of change for the funtion at the given value g(x)=x+11x-15 at x=1

A:

Q: 2-Find the instantaneous rare of change for the above function at X = 3

A: 2. Let fx=1x2, x0=3

Q: Find a formula for a function that has vertical asymptotes x =1 and  x = 3and horizontal asymptote y…

A: Given that a function has vertical asymptotes x=1 and x=3 and horizontal asymptote is y=1. To find…

Q: 6. Determine the inflection points and intervals of concavity for the function y= e2*

A:

Q: 5. Find the length of the curve given by the graph of the function f(x) = x/x, for a in [1,4].…

A:

Q: Differentiate the function.

A: Given: y=ex1-ex

Q: Use Desmos to create a single graph with the following three functions: 1. f(z) = 4x5 - 7z 2. f'(z)…

A: The given graph is: fx=4x5-7x3 Using Desmos draw the functions fx, f'x, f''x:

Q: Q9. For what values of x does the graph of f(x)=x-2sin(x) have a horizontal tangent? *

A: As per Bartlebys expert answering policy, we can only answer one question with its three subparts,…

Q: 3. Use the graph of y = f (x) shown to sketch the graph of its derivative f'(x). [if on your own…

A: Give function f(x) has graph If you see this graph you will observe that derivative of f(x) will be…