Find all the first order partial derivatives for the following function.f(x, y) = sin2 (5xy2 - y)
A. 
= 2sin (5xy2 - y) cos (5xy2 - y); 
= (20x - 2) sin (5xy2 - y) cos (5xy2 - y)
B. 
= 10y2sin (5xy2 - y) cos (5xy2 - y); 
= (20xy - 2) sin (5xy2 - y) cos (5xy2 - y)
C. 
= 2sin (5xy2 - y) cos (5xy2 - y); 
= 2sin(5xy2 - y) cos(5xy2 - y)
D. 
= 10y2sin (5xy2 - y) cos (5xy2 - y); 
= 2sin (5xy2 - y) cos (5xy2 - y)
Answer: B
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Find the derivative of y.y = ln(sech (9x + 8))
A. -9 tanh (9x + 8)
B. 
C. -tanh (9x + 8)
D. tanh (9x + 8)
Evaluate.(-9)2
A. -81 B. 18 C. 81 D. -18
Find the linearization of the function at the given point.
at 
A. 
B. L(x, y, z) = 
x + 4y + 5z
C. L(x, y, z) = 
x + 4y + 5z + 1
D. 
Use synthetic division to find the quotient and the remainder.x4 - 2 is divided by x - 4
A. x3 + 8x2 + 8x + 4; remainder 254 B. x3 + 4x2 + 16x + 64; remainder 12 C. x3 + 4x2 + 16x + 64; remainder 254 D. x3 + 2x2 + 4x + 8; remainder 12