
Find the derivative of the function. y sin-1(5x+ 1) Part 1 of 3 The function y - sin-1(5x + 1) is a composition, and so we must use the Chain Rule, given below, to find the derivative dx[f(g(x))) = f '(g(x))g'(x) For the given function sin 1(5x+ 1), the "inside" function is Sx + and the foutside" function is arcsin (a) Part 2 of 3 Recall that the derivative of y sin-1(x) is 1-(5x - 1)2
Find the derivative of...
4 In 2x Find the derivative of the function y= 4 + 5x · y 777
Question 11 Find the derivative: f(x) = x2 In 5x 2x (3x In 5x) X+ In 10x **Previous
Question 2: Find for the following functions: (1) y=-42x2-3x -! 7x? -5x + 9 (3) y= x+5 (5) Y= 7+3 (y = (3x* + 3x + 2)(x+1) (7) y =(5x + 7x) Page 1 of 2 Question 3: (0) Find the slope of the graph of y=f(x) = 3x - 6x +1 at the point (2,1) (ii) Find the equation of the tangent line to the curve y = f(x) = x*-10x2 + 9 at x=-1 (iii) Find the equation...
2. Find the derivative and simplify. y = (3x-4)2 (1-x²)6
Find the derivative of the function y = - 8x In (3x + 5) Show all of your work on paper and submit it on canvas. your won't get any credit for the last answer without submission on Canvas
Problem 7 Find the derivative of the function f(x) = x34tan x ** 3x - 4
9) Find ( 5x+3x+3x dx a) O 5x2 + x3 + x2 + c b) O 5x3 + 2x2 + 3x + c c) O 5x3 + 2.x + 3x + с d) 0 5x + x² + x3 + c 8) Find the most general solution of the differential equation dx C49602 Weight: 1 = 6x2 - 7; given that y = 5, dy = 2, when x = dx o. a) y = PR + 2x + 5...
5x + 1 Use the definition of the derivative to find the derivative of the function f(x) = *-*2. Then find all x-values (if any) where the tangent line is horizontal. If the tangent line is horizontal for all X, write R for your answer. If the tangent line is never horizontal, write None for your answer Answer 3 Points Keypad 11 1'(x) = 2 Tangent is horizontal at x = Prev Nex If f(3) = -1, f(3) = 17,...
uestion 2 Find the derivative of the function. y = (x + 1)2(x 2 + 1)-3 -2x + 1x2x2 + 3x - 1) (x2 +14 2(x + 1x2x2 – 3x - 1) (x2 +14 -2(x+1x2x2 – 3x - 1) (x2 +14 2(x + 1x2x2 + 3x - 1)