4. It f(x,)= (x?+Zy^)+Z and ū= a.) Find the derivative of t in the direction Of ū at 13,2) -

Q: For the function f(x) = 4x- 3x +2x +6x +2, find f"(x), the third derivative of f, and f''"(x) = %3D

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Q: 2) Find the derivative of each function f(x) = Vx + 5x+6 %3D а) b) f (x) = 6x'(5x² +3x)10

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Q: 6 fla) 【うt+1} tx4)

A: given,        fx=3x4+1x3+4

Q: Find the derivative of: h(w) = 3w + w^4/(2w^2 + 1)   [4w^5 + 4w^3 - 6w^2 + 3]/(2w^2+1)^2 [4w^5 -…

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Q: The derivative of y= xh* is O 1) (In x)(xh*-) O 2) 2 an x)(xh*) O 3) (In x)* O 4) xhx

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Q: The figure below shows the derivative F' of F. Let F (0) = 0. F'(1) ਜਿਹ 8 + 2 4 6 Of the four…

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Q: (0,F) (L.F) (L+ F, 0) (L+F+ LF, 0) 2. The following is the graph of f'(x).

A: From the graph,when 0≤x≤L, f'x=F Therefore, f(x)=∫f'xdx=∫F dx=Fx+cc being an integrating constant…

Q: directional derivative

A: f(x1y)=Ax2+2Bxy+Cy2∇f(x1y)=(2Ax+2By,2By+2Cy)∇f(a,b)=(2Aa+2Bb,2Bb+2Cb)V=(b,a)||V|| = b2+a2u = V||V||…

Q: Find the 1st order derivative for    R(x,y) = [(x^2)/(y^2 + 1) ]  -   [(y^2)/(x^2  + y)]

A: Given function is R(x,y)=x2y2+1-y2x2+y Differentiate partially with respect to x.…

Q: Let f (x) = x^2 -3x+5 a) use the definition of the derivative learned in class to compute f'(-2) b)…

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Q: Find the derivative of y=fG)= Jx3 + x2 * Do not use product quotient rule. or

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Q: z = f(x,y) = 860 / ( 3x^2 + 4y^2 )

A: According to the given information, the height of a hill in prospect park is modelled by: Here…

Q: 5. Use the graph of ƒ '(x) shown and the fact that f(2) = 14 to find the value of f(12). f’(x) 8 3…

A: Notice that the graph of f'(x) on 2,8 is a upper semi circle with center (5,0) and radius 3.…

Q: The derivative of f(x,y)=9xY at (e,1) in the direction of v=(4,3) is !!

A: TO FIND THE DERIVATIVE i.e DIRECTIONAL DERIVATIVE IN DIRECTION OF V= (4,3) at (e,1) STEPS 1. FIRST…

Q: What is the derivative of h(x, y) = e"Y at (2, 3) in the direction at an angle of 7 from the…

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Q: 3 x° In x x° with respect to X - Find the derivative of y a) 6x - a2 b) None of these c) p6 ln x x2…

A: Given query is to find the derivative of the expression.

Q: Let f (z) = (5z +3) (i – xỳhat is the real part of the derivative f' (1+ i}

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Q: p5 _3ar4 +23r2 h (r) 4r2

A: Given that h(r)=r5-3αr4+2βr24r2 We need to find out derivative of h(r) respective to r.

Q: Find the directions in which f increases and decreases most rapidly at point P. Then find the…

A: Step:-1

Q: Evaluate the value of ‘a’ if the first derivative of m(x,y,z)=4-ax^2-2y^2, with respect to the…

A: Consider: mx,y,z=4-ax2-2y2 and mx1,2,3=-2. Solve for a. Calculate mxx,y,z by applying…

Q: Find the derivative of r1(t) = and r2(t) = A) find dr/dt of r1(t) B) find dr/dt of r2(t) C)…

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