3.3-The chain rule Questions If f(x) (2x + 4)2, find f'(x). • Q1 (0/5) Q 2 (0/5) • Q 3 (0/5) • Q 4 (0/5) • Q 5 (0/5) • Q6 (0/5) • Q7 (0/5) Preview Find f'(2). Preview Get help: Video

Q: f'(x) (11 + x)2 -V11,V11 VIī, VIT EX =p 7 of 7 2x(x² – (11 + x2)3 Substitute x = -/11, 11 in the…

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Q: 19/9 10/9 Find any critical numbers for the function f(x) =x' whether the critical numbers lead to…

A: We need to find critical points.

Q: 4.20 Consider the function f(x) = x' – 2x + 4 on the interval [-2, 2] with h = 0.25. Use the…

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Q: Please help with part f,g,h and J

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Q: Q-2) Prove that converting the Higher-Order derivatives to the finite difference formula would be:…

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Q: 8. A limit exists if both the right-hand and left-hand limits are equal. 9. The acceleration…

A: Given :   Limit rule, acceleration, quotient rule

Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A: x=0 is near a=0.11

Q: Find the dy/dx using logarithmic differentiation y=(x2(x4+5)1/2)/(ex-x^4) 2. Find the limit lim…

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Q: 9) Determine the third derivative with respect to x for y = In x 10) Given f(x) 2x + 1 and f(1) 4.…

A: Find the derivative

Q: 2.The Newton-Raphson method is to be used to find the root of the equation and f'(x) is the…

A: Newton's method does not always converge. Its convergence theory is for "local" convergence which…

Q: For what value of the constant cis the function f continuous on(-0,0) x2+ 2x +6 if xsZ cosin (x-2)…

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Q: 1) Use forward and backward difference approximations with error of O(h²) and a centered difference…

A: As per the question we are given the following function : f(x) = x2e-3x/7 And we have to find the…

Q: 4. The process of finding a general formula for the slope of a line tangent to a certain curve is…

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Q: 4)Given f(x) = 2x/(x2 + 1) a)Find the derivative. b)Find the critical numbers .

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Q: 1) Use forward and backward difference approximations with error of O(h²) and a centered difference…

A: Given function  fx = x2 e-3x7 Step size h =0.2

Q: The function f has a continuous second derivative, and it satisfes f(2) = 5, f'(2) = 0 and f"(2) =…

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Q: Consider a function y =f(t) with domain (0. 1, 4. 2). Use the graph of the derivative function,…

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Q: Suppose (-2, 1) is a critical point of f(x, y) and that the Second Derivative Test applies to f(x,…

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Q: 1. Create your own function f(x) of the form F (x) = f (x)·g (x). In other words, F(x) is a product…

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

Q: 4. The derivative of In (x2+1) is In (2x). 5. The derivative of In (x2+1) is 2* 6. The first rule…

A: 4. Given statement is the derivative of lnx2+1 is ln2x. Finding derivative of lnx2+1.…

Q: 3. The graph of the continuous function g, the derivative of the function f, is shown above. The…

A: Given problem is :

Q: Use the definition of a derivative to find f'(x) and f"(x), when f(x) = 2/x. I got f'(x) = -2/x2,…

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Q: 2 3 Use the first derivative test to determine the local extrema, if any, for the function f(x) =…

A: Take the derivative of f (x)  and equate to zero for finding point of extrema.

Q: (a) Suppose that the first derivative of the function y = f (x) is given by f'(x) = 6(x +1)(x – 2)²…

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Q: 9. The derivative of a given function f(z) is f'(2) = z² - 2. a) What are the critical points of…

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Q: 73 9x +4 then f(x) has a local maximum at the point 3 Use second derivative test, If f(x) %3D - O…

A: Topic:- application of derivatives

Q: 2.6 The Chain Rule: If y= f(u); u= g(x), and the derivatives and both exist then the du dx composite…

A: Given y=f(u) and u=g(x) and dydu and dudx both exist.

Q: 11. If f(r) = rª and g(r) = r³, then f' (x) = 4x³ and gʻ(x) = 3x². The Chain Rule multiplies…

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Q: A company wants to accumulate Tk. 100000 to purchase replacement machinery 8 years from now to…

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Q: 1 The equations of the vertical asymptotes of the function with rule f (0) = are: 1+ cose

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Q: -5-0 using Iterative fixed-point method by 2. Find one root of f(x) x+ choosing initial value as -2…

A: Given that fx=x3+4x2-5=0 To use iterative fixed point method to find one of the root of the above…

Q: . Use Euler's method with a step of 0.1 to estimate f(2.5) if f(1)=-2 and the derivative of the…

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Q: 5. Find the critical numbers, and the intervals of increase/decrease for y=ln(4-x) %3D

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Q: 7. The table gives selected values for the derivative of a function f on the interval -2<x<2. If…

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Q: 1. Differentiate. Show your work to get credit. а) f(x) = log10 vx by using the chain rule. %3D…

A: RECALL:( Chain Rule differentiation)       If f and g both are differentiable function and F(x) is a…

Q: 1-e2x 10. lim X0 1-ex x2-3x-28 4. lím エ→アーx-14x+49 11. lim In(x sin x) ズ→0 5. lim V2x + 1T ズ→4 12.…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

Q: 2. Find the equation of the tangent line and normal line to the curve f(x)= 3x at the point(1,1). x²…

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Q: Klein is located on the tangent line to y=3x2 -x  at x = 1.

A: Using , slope point formula

Q: 2-(i) Suppose that we know that f(x) is continuous and differentiable on [6,15). Lets also suppose…

A: 2) Suppose that we knw that f(x) is continuous and differentiable on[6, 15]. Also, suppose that we…

Q: ose k is the derivative of K, a function with the same domain as k. inction K has one critical point…

A: According to answer policy we can answer one question at a time, therefore I will be answering first…

Q: 3. sin 2m 5. 17 20 M(x) KER 27 (2x+ 1)m 2m sin 10 * 17 xS 13 11(2x 20 37 33 7. 13 <xS 24 where M(x)…

A: According to our policy, we solve only the first three subdivisions. For the remaining subdivision,…

Q: 2. The function f(x) is discretized using an equidistant grid with step h. It is known that f(0) =…

A: Given: f0 =1; fh = 2; f2h = 1f''h = -2. To find: h using central difference method. We know: f''h =…

Q: 1.) Find the area under the curve y = x3 + 3x2 and the axis between x = 1 and x = 3.

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Q: Find dydx by implicit differentiation, given that x2y−3y3=−1. Your answer could involve both x and…

A: We differentiate both sides with respect to x We use the product rule for x2y

Q: Suppose (-2,1) is a critical point of f(x, y) and that the Second Derivative Test applies to f(x,…

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Q: For a heat conduction equation in one dimensional, a parabolic equation can be employed to…

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Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: The given functions are: fx=2x2-1x2+3x2+1 and gx=x2+872-3x25 The person's brother believes that,…

Q: 1) Suppose the second derivative of a contiovous function given by f"(x)=Cx-2 )3 (x-2)2 (sx-) A…

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Q: 4. Using the expression (x + Ax)² = x" + nx-Ax +n(n – 1)x"-²Ax² + + Ax" ... prove that if f = ax"…

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Q: 4 For the function f(x)= x³(x – 7 ) find : 1. The critical points 2. Relative maxima and minima 3.…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.