Test: Test 2 (HenryGruder) This Question: 1 pt Find the derivative of the given function, y...
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...
-/1 POINTS SCALC8 2.5.045. Find the derivative of the function. y = cos( V sin(tan(5x)))
1. Find the derivative of the function y (x) , showing all steps used 2. Find the derivative of the function y(x)In x), showing all steps used. 3. Show that sin(x) 1- (sin(x) cot (x))2, showing all steps 4. Evaluate the following integral:珓 1-cos' (x) cos(x) dx, showing all steps. 5. If the rate at which a car's position is changing is given by the formula0.3t2 - 2.0t +100, where x is in meters and t is in seconds, find...
This Test: 45 pt 2 of 45 (0 s Question: 1 pt cos (2x) cos (5x)+ sin (2x) sin (5x)-2 To the right, half of an identity and the graph of this half are given Use the graph to make a conjecture as to what the right side of the identity should be Then prove the conjecture The graphis shown in a(-2x, 2x, x/2]by I-2,2, 1] viewing window O sin (3x) 。cos(3x) O -cos (3x) O sin(3x Prove your conjecture...
2. (each 1 mark) Find the derivative of the following functions: 9x + 7 (a) y = 92 - 1 (b)r = (02 9016 /09 - 9 ( 9 ) (c) y=rºcot x + 9x2 cos x – 14x sin x 9t sint (d) s = cost + +9 (e) h(x) = cº sin (vą) + 240 sec (1) ) 10 (f) f(0) = (_sin 98 (1+cos 90 ) (g) g(x) = (1 + csc(+10) + In (922 – 8)...
y = 3x0+ QUESTION 2 Solve the given differential equation. (The form of yp is given D2y + 25y = -5 sin 5x (Let y p = Ax sin 5x + Bx cos 5x.) sin 5x + c2 cos 5x + x sin 5x - 1 x cos 5x Oo oo cos 5x + = x cos 5x y = C1 sin 5x + C2 cos 5x + 5x sin 5x y = C1 sin 5x + C2 cos 5x...
Chapter 3, Section 3.2, Question 009 Find the derivative of the given function. y = + 8 Vx Enclose arguments of functions, numerators, and denominators in parentheses. For example, sin (2x) or (a - b)/(1 + n).
Question G. [5 MARKS] Find the derivative of y, where y is given implicitly as a function of x by: ytan + y sin cIn y = 14.
Find the derivative of the function y= 4 In 3x 2 + 5x 4(2 + 5x -5 In (3x)) y': x(2 + 5x)2
1. Find the derivative. sex (28* + 13 (2x + 1)2 (2X+1) ex (2x + 1)2 2. Solve the given differential equation where the function is subject to the given conditions) by using Laplace transforms. y' + 9y = 0, y 0 --1 y=-et y=-e y = e-9t y = 9et 3. Find the derivative. + y=2 sin x + 8x3 cos x4 8x* cos x X COS X 8x3 cos x3 Please tell which one is the correct choice