Differentiate the following function yee Y dx Differentiate the following function yee Y dx
Differentiate the following function. f(x) =e 32 - 7x (e-3x2 +7x) = dx
Differentiate. 9 y= 4x2 d 9 dx 4X2
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)
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
Question 4 a) Differentiate with respect to x, i. y = sin 2x ii. y = x In(5x + 2) b) Show that if y = cotx, dy dx -cosec? x c) Show that if y = tan x, then dy dx 1 1+xal Question 5 Use calculus to find any turning points of the function A(t) = te-020 and determine their nature (maximum, minimum or inflexion) using any method. Question 6 a) Find tan” x dx b) Use integration...
Differentiate the function. y = 2x² - 1 8x + 3 y'=0
Use logarithmic differentiation to differentiate the following function a) y = (x2 + 1)(x2 + 2)6 b) y = vai
() (ii) Differentiate the following expression implicitly: (1+e%*)? = 3+In(x+y) Find the value of y and the value of f'(x) (ie dy/dx) when x=0.
Differentiate the function. y=(7x4-x+2)(-x5 + 2)
Differentiate the following function: