Fill in the blank: The derivative of _______ is 2e^2x-6x^5-8
Determine x (t) for using differential equations techniques a. 2x' +6x-2sin4tx (0)-1 b. x"+2x' +2x-2e (0) and x (0)-1
Define *() = -5 + 8x - 6x + 2x on 1 <=52 and 8(1) = 27 - 40z +18r? - 22 on 2 <=3 Verify that s(2) is a cubic spline function on 1,3]. Is it a natural spline function on this interval?
5 4 3 + - + 6x - 4x + 8)e to Find the derivative of the function. y= (2x3 – 2x2 + 8x - 6)e ** O B. (6x5 - 6x4 + 24x3 – 12x2 - 4x + 8)e O C. (6x5 - 6x4 + 24x3 – 1872)e ** OD. (6x2 - 4x+8)e ** to
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
Find the general anti-derivative for f(x) = 3x2 - 6x + 2 Find the anti-derivative for f(x) = 2x + 4 that passes through the point (3,0).
Derivative Find the derivative of the function. y = (1 + 6x) e-6x
I need help with number 8. In Problems 5-8, find the derivative but do not simplify your answer. 5. y = (2x - 5x4 + 2x2 - 1)(4x + 3x7 - 5x2 + 3x) 6. y = (9x - 7x7 - 6x)(3x - 4x4 + 3x – 8) y = (x - 2Vx + 1)(x - 5x - 7) y = (x2 + x + 1)(x - 2Vx + 5)
Find all rational zeros of the function f(x)=2x'-9x'-6x+5. Find all rational zeros of the function f(x)=2x'-9x'-6x+5.
5. (13 pts) (x) = 2x° -6x° -18x a. Find the location of the local maximum(s) and minimum(s) off. You must show use of calculus. Use either the first derivative or second derivative test to prove they are maximum(s) or minimum(s). b. On what interval(s) is f(x) increasing? C. Use calculus to find and verify the location of any inflection points of f(x). d. On what interval(s) is f(x) concave up?
8. Factor & Simplify x-2 x2-6x+9 2x-6