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Consider the function. х , f(x, y) = 15 - Ž - y 3 7 Find a unit vector u orthogonal to Vf(10, 2). UE Calculate Duf(10, 2). Duf(10, 2) = =
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Differentiate implicitly to find the first partial derivatives of w. x2 + y2 + z2 – 4yw + 9w2 = 4 + Step 1 The function isx2 + y2 + z2 4yw + 9w2 = 4. Move all terms to one side to define the function. LetF(x, y, z, w) = x2 + y2 + z2 4yw + 9w2 4. Step 2 Differentiate F with respect to x, y, z, and w respectively. Ex = 2x Fy = Fw
Consider the function. х , f(x, y) = 15 - Ž - y 3 7 Find a unit vector u orthogonal to Vf(10, 2). UE Calculate Duf(10, 2). Duf(10, 2) = =
2.
Differentiate implicitly to find the first partial derivatives of w. x2 + y2 + z2 – 4yw + 9w2 = 4 + Step 1 The function isx2 + y2 + z2 4yw + 9w2 = 4. Move all terms to one side to define the function. LetF(x, y, z, w) = x2 + y2 + z2 4yw + 9w2 4. Step 2 Differentiate F with respect to x, y, z, and w respectively. Ex = 2x Fy = Fw
Consider the function. х , f(x, y) = 15 - Ž - y 3 7 Find a unit vector u orthogonal to Vf(10, 2). UE Calculate Duf(10, 2). Duf(10, 2) = =
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