Question

Find the derivative of the function. f(x) = arcsec(7x)

          Find the derivative of the function.
f(x) = arcsec(7x)
        
Find the derivative of the function.
f(x) = arcsec(7x)

Added by Brooke F.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find the derivative of the function. f(x) = arcsec(7x)
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Transcript

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00:01 You want to find the derivative of the function f of x equals the arc secant of 7x.
00:16 Well, we can apply the differentiation.
00:18 Well, we can, let's do the chain rule.
00:22 So we're going to multiply the interfunctions derivative of x.
00:28 So that would look like the following.
00:34 Let's say d, d, dx of arc secant of 7x would be equal to 1 .1.
00:54 Over the square root of 1 minus 1 over 7x squared 7x squared times d d x of 7x of 7x all right so for no d d x of 7x this is linear and so that's going to be equal to 7x 7 x over 49...
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