3 3+ - 4x² - y³ +2 z³ + xyz +103=0 Z Use partial derivative to calculate at the point (-2,-1,-4) az 2 and ах 22 ау 22] (-2,-1,-4) = = ах 22 ] (-2,-1,-4) = ау

Eliminate the arbitrary constants of    y= Ae^(5x) + Bxe^(5x) + e^(3x) (Ccos10x + Dsin10x)    Where A, B, C, and D are the arbitrary constants

Find first and second derivatives like in the last line

-3x +-x 2-- Find the derivative of by using the product rule.* y = (1+ v3) ( 3-2) (-2a) 3 5 +. 3 -3x + -3x 3 Option 4 O Option 2 3 -3x 21 11 5 x6 3 5 2 2 x2+x 11 5 3x Option 1 O Option 3 213

Find the first partial derivatives of the function z = (2х + Зу)10.

Find the derivative of the function. y = x 5 VxJa7 O y'=- 2x3+7 3x7 5x3 Vx3+7 3x6 5x4 Vx3 +7 2x3+7 O y'= 2x3 +7 3x3 + 5x3 Vx3 +7 3x7 O y'= 2x3+7 + 5x4. 3x7 O y' = 2x3+7 5x4 Vx3+7

Find the derivative of the following functions. 1. y= -7x^-5 + 4x^2 -19x + 2 2. y= 5x^3-15-25 3. y= 10x^-16

Use derivatives to find two positive numbers a and b such that a^(2)+b^(2)=1 and such that 2a+3b is as large as possible.

Find the implicit derivative 3y^3-4x+6y^2-6y=5x^3+y

Eliminate the arbitrary constants of  y=[Ce^(10x)] + [Be^(-9x)] + [De^(8x)] Where C, B and D are the arbitrary constants