Write a chain rule formula for the following derivative. for u = f(p, q); p = g(x, y, z), q = h(x, y, z) ф & + II

Q: 1. y = sin(x) tan(x) 2. y = cos (x) 3. y = cos(tan(x)) 4. y = tan(x) A. y' = -3 cos (x) tan(x) В. у…

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Q: Find the derivative of f(w)=w78+2w.

A: dxndx= nxn-1---- Formula f(w) = w78 + 2w f'(w) = d(w78+2w)dw = 78 w77 + 2

Q: 1.) a function f f (x,y, 2) = 2-eªsing is given. of this function p= ((n 3, 31,-3) at the point what…

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Q: d y. d3y dy d'y dy (+() dy + y dt2" dt + b dt dt2 ay dt3 d/dt (5 %3D dt

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Q: Find the directional derivative of the function at the point P in the direction of the point Q. f(x,…

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Q: Use the Chain Rule to find the derivative of the following functions.

A: To find the derivative of y=1-ex4 using the chain rule. Solution: Chain rule of differentiation…

Q: Decide, whether the function w = z2 + 3z has a derivative (and where) and then find it.

A: Complex number: A number of the form z=x+ιy where x and y are real numbers, is called a complex…

Q: e +e =e**

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Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the…

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Q: Write a chain rule formula for the following derivative. dw for w f(p,q); p= g(x,), q = h(,) O A. aw…

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Q: Oues. find cof y³ty = x+6x 3. ( please Flugthe Valle of y alse, after taking the duivatlbe]

A: Given an equation, y3+y=x2+6x To find the derivative of the above equation.

Q: Find the derivative of the function and then evaluate at the given point. y 3x2-4x; 1,7)

A: To determine the derivative of given function and then evaluate at the point (-1, 7).

Q: aw for w = f(p, q); p = g(x, y), q = h(x, y) ax А) dw ax C) dw ax = = aw ax ах др aw др + dw да aw…

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Q: 1 t3 4u p 1.A (p, t, u) pt2 u? 2. g(x, y, z) = V² +z=2 + sin(ry – x²)

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Q: e) s = cos (1– 21) -2 4t f) y = t+1, .2 x + x g) y =

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Q: Find the equation of y, given the derivative and the indicated point on the curve. y = 2(х - 1) dx y…

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Q: find the derinative of the following. Cos 3X y=

A: given function is                                                  y=x2-1cos-13x we have to find…

Q: C. Apply the chain rule to find the derivative 1. y = (8 - 3x )3 3. y = (1-x)7 2. y = V2x + 1

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Q: 3. 6. t ca)

A: The chain rule of differentiation is to be used to find the derivative of f(x)=(x3+x-1)3. The chain…

Q: According to the following data: (0,0), (0.2, 1), (0.4, 3), (0.6, 5), (0.8, 7), (1.0, 5), (1.2, 3)…

A: 6hD=-9i-2-10i-13i-2i+14i+2 0,0, 0.2,1, 0.4,3, 0.6,5, 0.8,7, 1.0,5,1.2,3

Q: 11. In y = e" sin x

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Q: ind the derivative of the function f(x,y) = x +xy + y at the point (5,6) in the direction O A. - 545…

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