The second order partial derivative of f with respect to z (mean fz) where f(x, y, z) = x'0 sin(3y + 10z) is Select one: a. 100x^10sin(3y+10z) b. -100x^10sin(3y+10z) c. -100x^10cos(3y+10z) d. 100x^10cos(3y+10z)

Q: If f(x, y) = y° cos(x) – x³ In(y), find the second partial derivative ду дх .A ² f ду дх 3x2 -2y…

A: Calculate partial derivatives

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Q: If f(x, y) = y cos(x) – a° In(y), find the second partial derivative ду дх .A 3x2 = -2y sin(x) ду дх…

A: Option (a) is correct.

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Q: Find the partial derivative of f(x,y) with respect to y at the point (3,2) f(x,y) = ln(x^2y-xy^2)

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Q: Find both first partial derivative Z = 15x x/y az az ду

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Q: derivative

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Q: Find the 1st order partial derivative of f(x,y,z) = 4x^3y^2 - e^zy^4 + (z^3/x^2) + 4y - x^16

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Q: Determine the indicated (in the attached image) partial derivative of  f(x, y) = 3x3y2 + ln(2x2 -…

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A: We will find an example

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Q: but its partial derivatives are not continuous at (0,0).

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Q: Find the Partial derivative of f with respect to y for * f (x, y) = x+y

A: →While calculating ∂f(x,y)∂y , consider 'x' as constant.→∂∂yuv = v∂u∂y-u∂v∂yv2

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Q: Find the derivative of y. y = 3ztanh (z)+3In /1-z y' = 3 sinhz y' = tanh 3z y' = 3 tanhz y' = 3…

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Q: Explain of the method of proving the derivative (dy/dx) of y= U(x)"(») where U(x)and V(x) are…

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