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Differentiate following functions.
g ( x ) = 3sec ( x ) -10 cot ( x )
Solution : There actually isn't a whole lot to this problem. We'll just differentiate each term by using the formulas from above.
g′ ( x ) =3sec ( x ) tan ( x ) -10 (- csc2 ( x ))
=3sec (x ) tan ( x ) +10 csc2 (x )
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find the sum of the following series upto n terms: 1*2+2*4+3*8+4*16+.....
0.25+25
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sin (cot -1 {cos (tan -1 x)}) tan -1 x = A => tan A =x sec A = √(1+x 2 ) ==> cos A = 1/√(1+x 2 ) so A = cos -1 (1/√(1+x 2 )) sin (cot -1 {cos (tan -1 x)}) = s
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1+1
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