Let k(x)=f(x)g(x)h(x). If f(x)=3x−2,g(x)=2x−3, and h(x)=−2x2+4x, what is k′(1)?

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A: Let's find.

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A: Let P be point (x0,y0,z0) Then, distance between P and origin is given by

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Q: 9. Let f(x) = x³ – 3x² + 3. a. Find the y-intercept of the function; b. Find all critical points of…

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Q: Find y(0.5) for y'=-2x-y, y(0) = -1, with step length (h= 0.1) using Runge-Kutta.

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

Q: 1. Find the relative maxima and minima of y by the second-derivative test: (a) y = --2x? + 8x + 25…

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Q: xsin 1x Vx+1 2tan-x Vx+1 2tan-1x QI) Find of y=: e2x+1

A: We will find dy/dx as following .

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

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A: Consider the following function: fx=1+x Differentiate fx with respect to x: ddxfx=ddx1+xf'x=121+x

Q: II- Find the local maximum and minimum values and saddle points of the 3y? 3xy - 2 function f(x, y)…

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Q: Given that y1 = 3x is a solution of æ°y" + xy' - y = x2 on the interval (0, 0), use the reduction of…

A: Concept - used the reduction of order

Q: Find the su x² + y? :

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Q: determine the general solution of y''-y=0 given y1(x)=e-2x using reduction of orders

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Q: y = In[(2x – 1)(x + 3)] with Respect to x by using the chain rule.

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