A General Geometry And Calculus Including Part I of the General Geometry Tre
A General Geometry And Calculus Including Part I of the General Geometry Tre
Edward Olney
The book A General Geometry And Calculus Including Part I of the General Geometry Tre was written by author Edward Olney Here you can read free online of A General Geometry And Calculus Including Part I of the General Geometry Tre book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is A General Geometry And Calculus Including Part I of the General Geometry Tre a good or bad book?
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Du = sec 2 5. -rd(5x) = 5 sec 2 5x dx.
Ex. 4. Differentiate u = cot 2 x*. Du 6. R 2 cot x 3 cosec 2 x 3 dx.
\ Ex. 5. Differentiate u = sin 3 x cos x.
du sin 2 x(3 k sin 3, r)7x.
TEIGONOMETRICAL FUNCTIONS. 33 Ex. 6. Differentiate u = 3 sin< x. Du = 12 sin x cos x dx.
Ex. 7. Differentiate u = cos mx. Du = m Ex. 8. Differentiate w = sin 3. R cos 2#.
du = (3 cos 3# cos 2# 2 sin 3x sin Ex. 9. Differentiate u = sec*5x. Du = 10 sec* 5a? tan 5xdx.
Ex. 10. Differentiate u = tan" nx. Du = w 2 tan"" 1 w# sec 2 n# cfo. Ex. 11. Differentiate u = log sin jr.
SOLUTION. We have here a logarithm to differentiate, i. E. The logarithm of sin a;. Hence the differential is the differential of sin a;, divided by sin a;, in the Napier ian system, or m times this, in the common system. Therefore du md(sin x ^ sin x mcoKxdx -T - = m cot a; dx, or in the Napierian system, cot xdae.
Ex. 12. Differentiate u == log cos x.
du = m tan x dx, or tan x dx. Ex. 13. Differentiate u lo tan x.
du = sin x cos x sin 2 tan x Ex.
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