£ (sint! I cosrt logi lo Differtiate Conto lag seca from first puinakle. cotx+log (sin

Differentiate log sin x from first principle.

Differentiate log sin x from the first principles.

From first principle find the derivatives of each of the following functions w.r.t.x: log (sin x)

Find the derivative of each of the following from the first principle. (i) sin 2x , (ii) cos 3x , (iii) tan 5x

Find the derivative of f(x) from the first principles,where f(x) is (i) sin x+cos x (ii)

When light is incident on a medium at angle i and refracted into a second medium at an angle r, the graph of sin r versus sin i is as shown. From this one can conclude that (i) the velocity of light in second medium is sqrt3 times the velocity of light in the first medium (ii) the velocity of light in the first medium is sqrt3 times the velocity of ligth in second medium (iii) the critical angle of the two media is given by sin i_C=1sqrt3 (iv) the critical anlge of the two media is given by sin i_C=1sqrt2

When light is incident on a medium at angle i and refracted into a second medium at an angle r, the graph of sin r versus sin i is as shown. From this one can conclude that (i) the velocity of light in second medium is sqrt3 times the velocity of light in the first medium (ii) the velocity of light in the first medium is sqrt3 times the velocity of ligth in second medium (iii) the critical angle of the two media is given by sin i_C=1sqrt3 (iv) the critical anlge of the two media is given by sin i_C=1sqrt2