-1 -1 18. Show that cos (-x) =T- cos x

Find the derivative of the following a) y = cos (4x³ + x²-2) -1 b) y = xsin ¹¹ (x) + √√√1-x²

Cos (x) In(Itx?) 74.8

rewrite cos(x+4pi/3) in terms of sin(x) and cos(x)

-1 Write the expression cos (2 sin'x) as an algebraic expression in x, where (-1< x <1). Select one: 1+2x? 2х 1-x2 2x2 – 1 - 1-2x2

Two derivations of the identity sec¬1(-x) = # – sec-lx a. (Geometric) Here is a pictorial proof that sec-'(-x) = T - sec-lx. See if you can tell what is going on. y = sec-lx х b. (Algebraic) Derive the identity sec¬'(-x) = T – sec-lx by combining the following two equations from the text: cos(-x) = T – cosx Eq. (4), Section 1.6 sec-lx = cos'(1/x) Eq. (1)

4 sin 0, /2 < 0 < Tt/2. Simplify the expression Let x X 16 x2