uestion 2 Find the derivative of the function. y = (x + 1)2(x 2 + 1)-3 -2x + 1x2x2 + 3x - 1) (x2 +14 2(x + 1x2x2 – 3x - 1) (x2 +14 -2(x+1x2x2 – 3x - 1) (x2 +14 2(x + 1x2x2 + 3x - 1)
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...
Question 11 Find the derivative: f(x) = x2 In 5x 2x (3x In 5x) X+ In 10x **Previous
Find the derivative of y with respect to x, t, or e, as appropriate. y = xnx - 1/2 x 3 0 7x5 x2 O x5-x² + 6x ln x O 6x5-x² Oxnx-x² + 6x5
Find the derivative of y with respect to t Find the derivative of y with respect to x for y sinh (95x) The derivative of y with respect to x for y- sinh 1 (95x) is (Simplify your answer.)
Find the total derivative of Z with respect to x. z = x²y - y2x - 5x3, where y = (3x + 5)12
Find the derivative of y with respect to x. y = -cos-1
Find the derivative of the following functions: (x2-1) f(x) = (x2 +1) f(x) = (x3 + 2x)3(4x + 5)2
Find the partial derivative. f(x,y)= x3 + 6x²y + 3xy. Find fy(x,y). A. 6x² + 3xy? OB. x2 + 12xy +9xy? OC. 6x²y +9y? OD. 6x2 + 9xy
Question 12 1 pts Let f(x, y) = 2x – y + x2 + y4. Which (unit) direction vector u MINIMIZES the directional derivative Duf, at the point (0,0)? ANG 1 B)(- 2 V5 C) < tai D) (1, 2) OC B OA D