Find the derivative of the function.y = x4cos x - 15x sin x - 15 cos x
A. 
= x4 sin x - 4x3 cos x + 15x cos x
B. 
= - x4 sin x + 4x3 cos x - 15x cos x - 30 sin x
C. 
= - x4 sin x + 4x3 cos x - 15x cos x
D. 
= - 4x3 sin x - 15 cos x + 15 sin x
Answer: C
Mathematics
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Identify the type of surface represented by the given equation.
+ 
= 4
A. Ellipsoid B. Elliptical cylinder C. Parabolic cylinder D. Paraboloid
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Provide an appropriate response.Find the direction in which the function is increasing most rapidly at the point P0.f(x, y) = xey - ln(x), P0(-4, 0)
A. 
i - 
j
B. 
i
C. 
i - 
j
D. 
i + 
j
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Find the derivative of the function at the given point in the direction of A.
A. 
B. 
C. 
D. 
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Use the rules for exponents to rewrite the expression and then evaluate the new expression. (72)-1
A. 
B. - 
C. -14
D. -49
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