Question Part Points Submissions Used 1 %u2013 /1 0/50 Total %u2013 /1 Find the

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Question Part Points Submissions Used 1 %u2013/1 0/50 Total %u2013/1 Find the derivative of the function. f(x) = arcsec(7x) Question Part Points Submissions Used 1 %u2013/1 0/50 Total %u2013/1 Find the derivative of the function. f(x) = arcsec(7x) Question Part Points Submissions Used 1 %u2013/1 0/50 Total %u2013/1 Question Part Points Submissions Used 1 %u2013/1 0/50 Total %u2013/1 Question Part Points Submissions Used 1 %u2013/1 0/50 Total %u2013/1 Question Part Points Submissions Used 1 %u2013/1 0/50 Total %u2013/1 Question Part Points Submissions Used 1 %u2013/1 0/50 1 %u2013/1 0/50 Total %u2013/1 Find the derivative of the function. f(x) = arcsec(7x) Find the derivative of the function. f(x) = arcsec(7x) f(x) = arcsec(7x) f(x) = arcsec(7x) Question Part Points Submissions Used

Explanation / Answer

f(x) = arcsec(7x)

f(x) = sec^-1 (7x)

we know d/dx ( sec^-1x) = 1/(x sqrt(x^2-1))

so f ' (x) = 1/(7x sqrt(49x^2-1)) d/dx(7x)

=> f ' (x) = 7/(7x sqrt(49x^2-1))

=> f '(x) = 1/(x sqrt(49x^2-1))

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