Differentiate the given function K(X) = 5 (7x4- X+7)8
Find f'(x) f(x) = x х Consider the function f(x) = 5x + x Bx a. Find f'(x) b. Find the x-values where the tangent line is horizontal Use the product rule to differentiate. Do Not Simplify y = (7x4 - x + 2)(x5 + 4)
9. DETAILS HARMATHAP12 9.6.009. MY NOTES ASK YOUR TEACHER Differentiate the function. g(x) = (x5 – 8x)-2 g'(x) = Show My Work (Optional)
Differentiate the following function. y=x(x +9) Choose the correct setup below to differentiate the function. o [46x2 +9) °] =«• 3 (2 +9) + ((+9)"). o [x(x8+9)"]=w. (64*+9)°) +(6x3+9)°). o * [*(x+o) °] = wc.co+ (6 +9) °). (63 +9)!) [<(2*+9) °] =2[x(x2+0) °). <60+)'] of[(1+*] = v) (49 +9) °) - {60+9)).. ) [x(x +9)°) = 0
What is the domain of the following function? f(x) = 7x4 -81 Choose the correct domain. O A. {x– 35xs3} OB. {x|x < - 3 or x>3} O C. {x|x S - 3 or x2 3} OD. {xl-3<x<3} O E. (-0,00) OF. Ø
Differentiate the following function yee Y dx Differentiate the following function yee Y dx
Differentiate x4/y8 with respect to x, assuming that y is implicitly a function of x. (Use symbolic notation and fractions where needed. Use y' in place of dy/dx)
QUESTION 1 [4] Differentiate the following function using first principles: f(x)=*+1 QUESTION 2 [6] Differentiate the following: 2.1 y = e-1 [1] 2.2 y = xê [1] 2.3 y = tx (1) 2.4 y = 2e* (1) 2.5 y = 2x2 – 3x3 [2]
A polynomial function is given. R(x) = -x5 + 5x3 - 9x (a) Describe the end behavior of the polynomial function. End behavior: Y as x → 00 as x → -0 A polynomial function is given. P(x) = x(x2 - 4) (a) Describe the end behavior of the polynomial function. End behavior: y - as x 20 as x → -
Find the derivative of the function. y = (x3 + 2)2(x5 + 434 Find an equation of the tangent line to the given curve at the specified point. x2 - 1 x² + x + - 1 (1,0) Suppose the weekly cost of producing a barrels of oil is modeled by the cubic function Ca)= -124 + 20 Determine the interval of production in which this function makes sense as a model. That is, determine the interval of production in...