Find the partial derivative. z = (2² + 2x – 6y)"

Q: g. y = ex² +1 h. y = esinx y = ln(sin x) i. j. y = ln² + e√x X 6. L

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Q: 3. f(x, y) = (3x - 5y)2 + e4x In(4y – 9) + %3D 135 x4

A: We know, ddxxn=nx(n-1)  , for any real number n. ddxln(x)=1x

Q: Describe what a partial derivative means geometrically.

A: Describe what a partial derivative means geometrically.

Q: b Let y = x²sin(y) + yeXy, where x = s + 2t and y = st dv when s (ii) dt = o and t =1 is [d]

A: Find your answer below

Q: Let s= f(x, y, z) and x = the following pieces of data do you NOT need? Ox(2, 5, 1) = 6 Of(6,9,7): =…

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Q: Let the one-dimensional wave equation a?w a²w at2 əx² Where w is the height of the wave, x in…

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Q: (x,y) 3Dxe+3y: y(1,0)

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Q: Find the derivative of the function. G(z) = (1 – 92)² 7 +1

A: Given,          The function is Gz=1-9z2z2+1 .

Q: du Find and by using the chain rule. ar ' do u = x² + y? + 22; x = r sin o cos 0; y = r sin o sin 6;…

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Q: _2³.cos(xy) + e"Y³y 1)Calculate the partial derivatives of first-order of the function f(x.y)

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Q: A digital thermometer records the temperature each hour. The graph shows how the temperature T has…

A: According to our policy at Bartleby, I can solve only the three sub - parts. Given a graph between…

Q: f(x, y)= xe"+x sin(xy)+x*y

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Q: Find partial derivative.

A: We use product rule to find the partial differentiation.

Q: dy Y = y° dx 'x

A: As per guidelines,we will solve only first question.

Q: ,2, (x²–1)* Dx (1+8x)5

A: To Determine: find the derivative using chain rule  Given: we have y=x2-141+8x5 Explanation: we have…

Q: 23. g(x) = √√√9 — x Answer g'(x) = 1 2√9-x 9 (-∞, 9], (-∞, 9)

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Q: Explain how to find a first partial derivative of a function oftwo variables.

A: To get the first partial derivative of a function z = f(x, y) with respect to x we have to…

Q: 2. tanh-'x + lny1 – x²

A: We have to find derivative

Q: Consider the function g defined by 1 g(x, y) = cos (7x/) - CoS log3(x – y)

A: Given problem:-

Q: a?f a2f əx² ' ay² a²f a2f, a²f + + and ax2 T ay2' əz² + = 0 = 0 Respectively in the plane and in the…

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