Determine the derivative of
y= log(-3-2x)/x2
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Find the derivative of y with respect to x. y= In 1 + 2x X2 OA. -4-3x 2x OB. 4 – 3 x 2x(1 + xx) -4-3/ 2(1+) -4-377 2x(1+x) OD.
Question 4 1 pts px² du Jx log(x + u) OO 2x+ 1 log(x2+2) 2 log (22) 2 log(2x) 20+1 log(x2 +2)
Cal 4 , ) and use this to 6. Let f(x,y) = x2 + y2 + 2x + y. (a) Find all critical points of f in the disk {(x,y) : x2 + y2 < 4). Use the second derivative test to determine if these points correspond to a local maximum, local minimum, or saddle point. (b) Use Lagrange multipliers to find the absolute maximum/minimum values of f(x, y) on the circle a2 +y -4, as well as the points...
1. Find Derivative: y=2x^3 ln(2x^3+7) a. y' = 36x^4 ÷ 2x^3+7 b. y'=12x^5 ÷ 2x^3+7 - 6x^2 ln (2x^3+7) c. y' = -36x^4 ÷ 2x^3 +7 d. y'=12x^5 ÷ 2x^3+7 + 6x^2 ln (2x^3+7) e. y'=2x^3 ÷ 2x^3+7 - 6x^2 ln (2x^3+7) f. 2x^3 ÷ 2x^3+7 + 6x^2 ln (2x^3+7) 2. Find exact value of the expression. Sin(arctan(x/4)) a. √16-x^2 ÷ x. b. x ÷√16-x^2. c. undefined. d. √16+x^2 ÷ x. e. 4 ÷ √16-x^2 f.none
What is the partial derivative of log( ) with respect to y?
using the general power rule Question 1 let y = (x2 +x)3 Find y' 2x+1 3(x2+x)2 3(x2+x)2 (2x+1) • (x2+x)2 (2x+1) recall general power rule formula has three parts: [u(x)" ]' = n u(x)" 1 u'(x) Question 2 let y = (x3 +x2) 1/3 Find y' (x3 +x2) 1/3 (1/3) (x3 +x2) 1/3 . (1/3)(x3 +x2)-2/3 (1/3)(x3 +x2-2/3 (3x2+2x) recall general power rule has three parts. [u(x)"l' = n u(x)n-1 u'(x) Question 5 let g(x) = 1/(x3+x2)3 find g'(x) (x²+x23...
find the derivative Find the derivative of the function. y=9 eX + e 2x dy dx Find the derivative of the function. y=9 eX + e 2x dy dx
12. Find the derivative of the following: y = ln(2x + 4x2 - 2x + 4)
3. Consider the function f(x,y) = 4 + 2x - 3y - x2 + 2y2 - 3xy. a) (5 pts.) Calculate the partial derivative functions, and use them to calculate the gradient vector evaluated at c = b) (5 pts.) Write down the affine approximation to at the e given in a) /(x) = f(c)+ Vf(e)'(x - c) . Use it to calculate (1.1, 1.1). (Hint: it should be close to f(1.1, 1.1))
(3) Find the volume enclosed by the following two parabolic cylinders y = 2x +x2 and y2x2xand the planes x +y + z = 3, 2x + y + 7 - z = 0 (3) Find the volume enclosed by the following two parabolic cylinders y = 2x +x2 and y2x2xand the planes x +y + z = 3, 2x + y + 7 - z = 0