Find the derivative of the trigonometric function. y = sin((rex)5) y'(x) = ||
Find the derivative of the trigonometric function. g(t) = 5 (sin(πt))6 g'(t) = _______
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...
please do #7 the derivative of the function y - tan-(x-v1+x? ). Problem 5. Find the derivative of the function y = sin(2x+1). Problem 6. Find the derivative of the function h(x) = sinh(x?). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. I (a) lim x’e-* (b) lim (sin x In x) x0+
Find the derivative of the function. y'=? y = sin (VT) sin (9 r)
Q2 a) Find the second derivative of the following function y = tan x + sin-1x b) Using chain rule find any as function of y for the following function y = Vē – 1, x = t2 In x c) Using L'Hopital's rule find the limits as x approach 1 of the function d) find for the function y = ln xy + log10 (x + 3) + 2*+sinh-1x dx
e) Evaluate y =tan(sin" (x)) by using the definition of trigonometric and inverse trigonometric function. (2 marks)
Find the trigonometric function value of angle A. 9) Find the amplibade of y 5) sin A7 and A in quadrant Find sec A A)π C) 3 Maltiply and simplify 10) (cos x - sin x)2 60 Convert to radians measure. Leave your answer in terms of A) cos2x+2 sin x - sin2x B) 1 C) 1-2 sin x cos D) cos2x+2 sin2x Answer the question. 11) Given the angle θ in standard position with the point (4, -3) lying...
Prove the trigonometric identity: sin(x + y) sin(x - y) = sin’ x – sin? y. Which identity is used to prove it true?
Prove the trigonometric identity: sin(x + y) sin(x - y) = sin² x – sin? y. Which identity is used to prove it true?
4. g(t)= 3. y=sin(tan5x) In problems 1-5, find the derivative of the function. Write your answers in simplest form. 1. f(x)=- sinx 2. f(x)=(x +7x-2) 100 1-COS X 3. y =sin(tan5x) 4. g(t)= t+3 5. f(x) = cos(x'cscx) sin(x-3) 6. Find lim 2-3 3x-x?