The directional derivative of f(x, y) = ln(xy) + x² at the point (-1,1) in the direction of from the point (-1, 1) towards (2, 5) is . Select one: O True False

Q: Find the domain and range for f(x, y) = y² /x³ – y.

A: The given function is: f(x,y)=y2x3-y Now, the function is defined for all y but if  x3-y≥0⇒x3≥y⇒x≥y3…

Q: fr'e"dx 2-2 x

A:

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: 17. f(y) 2 3 your 1³

A: Given, .

Q: Find the derivative of y = 2 + v2 + vx5 |2 + V2 + Vx5

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Q: State the theorem for Second Derivative Test for f (x, y).

A: The second-derivative test for maxima, minima, and saddle points has two steps. 1. Find the critical…

Q: Let f(x) = r - 3z2 - 1. Calculate the derivative

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Q: Use the deffinition of derivatives to deffrintiate y= -x3+3x-6

A: Here the given function is

Q: find the homogenous linear equation of the function y = x2 sinx+ e5x

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Q: Find the derivative 3a+bt3 2b f(t) =+ V6at6. 5 3t

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Q: From the point (2,2), find the directions in which the directional derivative of f(x,y)=x2 +xy3…

A: Given f(x, y)=x2+xy3 we have to find the directions in which the directional derivative of function…

Q: An object moves in a straight line so that its velocity after t seconds is v(t) = 2/t – t. Determine…

A: Given, Velocity of the particle v(t) = 2t -t Particle is moving in the straight line We have to find…

Q: Use implicit differentiation to find at the point (-2, 3) on the curve dx x³ + y³ = 19.

A: Given the curve  x3+y3=19. We have to find d2ydx2 at the point (-2, 3) using implicit…

Q: Find the derivative of (x+h)²+y²=r²

A: Here the equation is x+h2+y2=r2.

Q: Use implicit differentation to find an equation of the tangent line to the curve 2 ( x power to the…

A: Given :  The function  2 ( x2+y2 ) 2 = 25 ( x2- y2  ) .   To find :  (1) The tangent line of 2 (…