Find the directional derivative of the function z(x, y)=etan(y) + (x + 1)²sin(2y) at the point P(0, 7/4) in the direction of vector a = i + j√3. Present your answer in the exact form (don't use a calculator).

Q: Determine the directional derivative of f(x, y) = 3x² + [y] at the point P(-1, -1) along the…

A: Explanation of the answer is as follows

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Q: Find the indicated derivative. "针 1 if p = Vq+7 dq Select one: A.-, (q +7Wq+7 B. 1. + bML+bz C.…

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Q: If f (x, y) = 2x² – 2y², find the value of the directional derivative at the point (-2,-4) in the…

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Q: Calculate the directional derivative of y = xz + y? in the direction of 20 – ŷ + 32 at the point (2,…

A: Given that ψ=xz+y2and the direction vector2x⏞ -y⏞+3z⏞The point p0=(2,0,-1) To find the directional…

Q: What is the directional derivative of the function f(x.y)-2xy-3y at point p.- (5,5) in the direction…

A: To find: The directional derivative of the function f(x,y)=2xy-3y2 at point P=(5,5) in the direction…

Q: Let z = (1+z)√√/50 — x² − y². - (A) Calculate the equation of the tangent plane at x = 3, y = 4. (B)…

A: z = (1 + x)50 - x2 - y2 The given function is of the form z = f(x) To calculate the equation of the…

Q: nd the directional derivative of the function f(x,y)=2x²y²+3xy at the point P=(2,-3) in the…

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Q: (u(t)xv(t)) = 00)

A: Given that the expression

Q: Find the directional derivative of the function pez(x, y) = cos(2x) In (5y) + sin ¹(3x) (1-²)¹/2 at…

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Q: Consider the function defined by f(x,y) = 4xy - 2x2. Evaluate the directional derivative of f at…

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Q: Find the directional derivative of f(x, y, z) = −4x² + 1y² — 32² at the point (-3, 5, -5) in the…

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