Write the first derivative of the following function.
Y=10X-2X-3+3X4-4X1/4
Show your work in detail.
Write the first derivative of the following function. Y=10X-2X-3+3X4-4X1/4 Show your work in detail.
Write the first derivative of the following function: Y=60-X+3X3-2X4 Show your work in detail.
Find the derivative of the following function. f(x) = (2x - 3)(3x4 +7x) f'(x) = 2(3x4 + 7x)+(2x - 3)(12x3 +7) f'(x) = 2 + (12x3 + 7) f'(x) = 2(12x3 + 7) f'(x) = 2(3x4 +7x) – (2x - 3)(12x3 + 7)
Write your first derivative of the following function Y = 2X3 -3X2 +2X -50
4 In 2x Find the derivative of the function y= 4 + 5x · y 777
Write the first derivative of the following function in the space on the answer sheet. Y = 5X4/5 + 3X3 -2X3/2 -10
Question 3: [25 pts] Answer the following questions. a) What is the first derivative of y = 2n=o 2"x" ? b) What is the second derivative of y = 2n=0 c) Write the first four non-zero terms of the derivatives y' and y". n! 2x n!
12. Find the derivative of the following: y = ln(2x + 4x2 - 2x + 4)
Detrmine the limit for each of the following problems 2x2 + 10x b) (2x – 1)(3 – x) lim x= (x - 1)(x + 3) c) lim X-5 X-5 5x4 + 8x2 a) lim x+0 3x4 – 16x2 1 - cos(x) d) lim X5 x2
3. (8 points each) Find the derivative of each function. Show as much work as possible. Do not simplify your answer. 2 (a) f(x) = x-0.5(1 – e2) + 4* + x4 x 2 93 (b) P(t) = + 2-t2 5+5e-3t (c) k(x) = 3 ln(2x +1) VX-5
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