Find the derivatives of the following functions :2 tan x - 7 sec

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 Multiple Choice QuestionsShort Answer Type

71.

Find the derivatives of the following functions :

5 sec x + 4 cos x

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72.

Find the derivatives of the following functions :

sin x cos x

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73.

Find the derivatives of the following functions :

2 tan x - 7 sec x


Let y = 2tan x-7 sec x

Differentiating both sides w.r.t.  x, we get

space space space space space space space space space space space space space space space space space space space space space space space space space space dy over dx equals straight d over dx left parenthesis 2 space tan space straight x space minus space 7 space sec space straight x space right parenthesis space equals space straight d over dx left parenthesis 2 tan space straight x right parenthesis space minus straight d over dx left parenthesis 7 sec space straight x right parenthesis


          space space space space space space space space space space space space space space space space space space space space equals space 2 straight d over dx tan space straight x space minus 7 straight d over dx sec space straight x space equals space 2 space sex squared straight x space minus space 7 space sec space straight x space tan space straight x

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74. Find the derivatives of the following functions :

space space space space space space space space fraction numerator sec space straight x space minus 1 over denominator sec space straight x space plus 1 end fraction
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75. Find the derivatives of the following functions :


space space space space fraction numerator sin left parenthesis straight x plus straight a right parenthesis over denominator cos space straight x end fraction
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76. Find the derivatives of the following functions :


(ax2+sin x) (p + q cos x)
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77. Find the derivatives of the following functions :


"<pre  
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78. Find the derivatives of the following functions :

(x + sec x)(x - tan x)
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79. Find the derivatives of the following functions :

space space space space space space space space space space space space space space space space space space fraction numerator straight x over denominator 1 plus tan space straight x end fraction
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80.

Evaluate the following limits :


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