differentiate the following function with respect to x (1)tan^-1(2(a)^x/1-(a)^2x) ,a1, -infinity (2)tan^-1(x / a+sqrt(a^2 – x^2)), -a (3)sin^-1(x+sqrt(1-x^2) / sqrt(2)) ,-1 (4) cos^-1(x+sqrt(1-x^2) / sqrt(2)) ,-1

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differentiate the following function with respect to x (1)tan^-1(2(a)^x/1-(a)^2x) ,a>1, -infinity (2)tan^-1(x / a+sqrt(a^2 – x^2)), -a (3)sin^-1(x+sqrt(1-x^2) / sqrt(2)) ,-1 (4) cos^-1(x+sqrt(1-x^2) / sqrt(2)) ,-1

Arun Kumar · Answer

Hi I'll solve only first question for others make another post. Apply chain rule. Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

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differentiate the following function with respect to x (1)tan^-1(2(a)^x/1-(a)^2x) ,a>1, -infinity (2)tan^-1(x / a+sqrt(a^2 – x^2)), -a (3)sin^-1(x+sqrt(1-x^2) / sqrt(2)) ,-1 (4) cos^-1(x+sqrt(1-x^2) / sqrt(2)) ,-1

differentiate the following function with respect to x
(1)tan^-1(2(a)^x/1-(a)^2x) ,a>1, -infinity
(2)tan^-1(x / a+sqrt(a^2 – x^2)), -a
(3)sin^-1(x+sqrt(1-x^2) / sqrt(2)) ,-1
(4) cos^-1(x+sqrt(1-x^2) / sqrt(2)) ,-1

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differentiate the following function with respect to x (1)tan^-1(2(a)^x/1-(a)^2x) ,a>1, -infinity (2)tan^-1(x / a+sqrt(a^2 – x^2)), -a (3)sin^-1(x+sqrt(1-x^2) / sqrt(2)) ,-1 (4) cos^-1(x+sqrt(1-x^2) / sqrt(2)) ,-1

differentiate the following function with respect to x(1)tan^-1(2(a)^x/1-(a)^2x) ,a>1, -infinity(2)tan^-1(x / a+sqrt(a^2 – x^2)), -a(3)sin^-1(x+sqrt(1-x^2) / sqrt(2)) ,-1(4) cos^-1(x+sqrt(1-x^2) / sqrt(2)) ,-1

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differentiate the following function with respect to x
(1)tan^-1(2(a)^x/1-(a)^2x) ,a>1, -infinity
(2)tan^-1(x / a+sqrt(a^2 – x^2)), -a
(3)sin^-1(x+sqrt(1-x^2) / sqrt(2)) ,-1
(4) cos^-1(x+sqrt(1-x^2) / sqrt(2)) ,-1