an increasing function f satisfies f(10)=5 and f'(10)=8. which  of the following

Q: Find a rule for the derivative of the product of four functions f,g,h, and k. Use your result from…

A:

Q: Use Leibniz’s Rule to find the derivatives of the functions

A:

Q: (2х-6)° $(x) = (2x-6)* (x+3)'

A:

Q: Find the derivative of f(x) = In [sin(x) +x] Lsin(x)-x] %3D 2(sin x – x cos x) x2 - sin? x )2(x cosx…

A:

Q: 1 Find the derivative of f(x) = - at x= 3 %3D (Type an integer or a simplified fractic 21 %3D

A:

Q: Use the Chain Rule to express the second derivative off o gin terms of the first and second…

A: Let y=f o g then we have to find the second derivative of y.

Q: 2. If the derivative of an accurately determined function is replaced with a finite difference, how…

A: Since you have asked multiple question, we will solve first one for you. If you want other question…

Q: 1950, a seed was planted same as the year as Jilian was born. When she celebrated her debut, the…

A: Given Information - Height of the tree when Jilian was of 1 year = 5m Height of the tree when Jilian…

Q: find the derivative of f(x) = (x²+4)(3x³ - 2x) at the point x = - 3[ use product rule] %3D B.

A: We have to find the derivative

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of…

A: Differentiate the function with respect to x using the chain rule to find f'(x). According to the…

Q: On which derivative rule is the Substitution Rule based?

A:

Q: 3. Is the function given by x²-4x-5 -,x< 5 f(x) =. x-5 x+1, x 2 5 continuous atx=5? Why or why not?

A:

Q: 75. F(x) has a negative derivative over (-, 2) and (5,9) and a positive derivative over (2, 5) and…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: How do I differentiate this function using the chain rule: f(x)=[x^2/sin(x)]^6

A: Given,           The function is fx=x2sinx6.

Q: 4. Describes the various ways in which integration and differentiation may be viewed as inverse…

A:

Q: Find the derivative of f(x) = 2² +8-2³ + 5z³. 0 (2) - 1/2 +8-235-24 + 152² O f(2)=1/22-²5 2¹ +152²…

A: The given function is; f(x)=x2/4 +8 - 5x5/3 +5x3.

Q: Find the derivative of the function by the limit process. f(x) = 6/x^2

A:

Q: (3) A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 - x. Each…

A: Length of wire = 10 cm

Q: Find the derivative of the function by the limit process. f(x) = x2 + x − 8

A:

Q: Compute the derivative of the function f(x) = 5x² + 3x at the point x = 4. %3D (Give your answer as…

A: We have to find the derivative at that point

Q: 2. Identify the derivative (9) based on the product rule ie, (G). Simplify to a single term.

A: Given ∂∂TGT

Q: 7 Let f(x) x – 9 * Then according to the definition of derivative

A:

Q: theoretically define what is the derivative of a transform and what is its function

A: Given data is : Define what is derivative.

Q: The second derivative of a function is equal to 1. If the graph of the function passes through (0,2)…

A:

Q: (5) Match the graphs of the functions to the graphs of their second derivatives. Original Functions…

A: Given: a function their derivative.

Q: (1) What is the chain rule for derivatives? You can write the rule in any way that makes sense to…

A: Explanation:                        The Chain Rule is a formula for computing the derivative of the…

Q: 3. Suppose a car travels at a constant rate of 70 kph for 2 hours and travels 55 kph thereafter.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use central difference method to estimate the 1and 2nd derivatives of the following function at x=3…

A:

Q: 3. Tak-gu baked 10 loaves of bread in 1 hour. After that, he baked a dozen of bread in 80 minutes…

A: We have three points,  A = (60 min, 10 )  B = (80 min, 12 )  C = (90 min, 12)    Hence, we have…

Q: f(x) = ln (1/x^6)

A:

Q: Find the derivative of the function using chain rule. f(x) = esin?x

A:

Q: Find the derivative of the function by the limit process. 7 f(x): x - 9

A: Given,          The function is fx=7x-9.

Q: What is the second derivative of f(x)=−x4? at the point x=−3 Do not include "f′′(x)=" in your…

A:

Q: Suppose (-8, 6) is a critical point of a function f with continuous second derivatives. If fra (-8,…

A:

Q: 3. ƒ : R+ → R, such that f(x) = √2x+2. (Hint: Apply the chain rule.)

A:

Q: Find the function whose tangent has slope xln√x for each value of x>0 and whose graph passes through…

A: It is given that the slope of the tangent is equal to dydx. This question can be solved using the…

Q: Find the value of the derivative of the function at the given point. f(x) = 2x2 - 3x; (- 1,5)…

A: The function is given by fx = 2x2-3x To evaluate : The value of the derivative of the function at…

Q: How do you prove the general power rule of derivatives using the inverse property (x^n=e^(nlnx))?

A: The general power rule:

Q: Determine the second derivative of f (x)=x²e* at x =-2 with a step-size of h=0.50 using Central…

A:

Q: the Chain Rule.

A: Given: y=11-x46. Let, u=1-x4 By chain rule, the derivative of y with respect to x is given as,…

Q: Compute the average rate of change of f(x) = x2-1/x on the interval of [2,4]. Please show me each…

A:

Q: Find the derivative of the function at Po in the direction of A. f(xу) 3 - ху- Зу?, Po(-7,0),…

A:

Q: give a problem and solution for differentiation rule of exponential and logarithmic functions in…

A: Given query is to give an example of exponential and logarithmic differentiation.

Q: 4. Find the maxima/minima of f(x) = x³ – x using both 1st and 2nd derivative test.

A: Consider the function: fx=13x3-x. Find maxima, minima.   Find f'x by applying axn'=anxn-1.…

Q: Find 1" and 2nd order partial derivative for the function ax²+by²+2hxy and also verify дхду дудх

A:

Q: 2. 1950, a seed was planted same as the year as Jilian was born. When she celebrated her debut, the…

A:

Q: az and ax az Use implicit differentiation to find for x2 + 2y2 + 3z2: 1. ду

A:

Q: Find the value of the derivative of the function f (x) = 16 - |x| at the extremum point ( 0, 16)

A: We have to find the value of derivative of the function f(x) = 16 - |x| at the extremum point…

Q: Find the derivative of a composite function using the Chain Rule or General Power Rule.  1.)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: What is the average rate of change of f(x)= x2 -2 on the interval [-1,3]?

A: