1 1+x The result from the differentiation is dy Derive the formula = dx Solve for...

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1 1+x The result from the differentiation is dy Derive the formula = dx Solve for dy dx sec²y = 1 Therefore, dy dx dy 1 dx sec²y = = Now, perform a trigonometric substitution for sec ²y. sec²y= dy 1 dx 1 + tan ²y 1 2 1+tan y 1 1+ for the derivative of y = tan = 1. Divide both sides by sec²y. Recall that tan y = x. -1 'x by differentiating both sides of the equivalent equation tan y = x. Substitute x for tan y. 1 1+x The result from the differentiation is dy Derive the formula = dx Solve for dy dx sec²y = 1 Therefore, dy dx dy 1 dx sec²y = = Now, perform a trigonometric substitution for sec ²y. sec²y= dy 1 dx 1 + tan ²y 1 2 1+tan y 1 1+ for the derivative of y = tan = 1. Divide both sides by sec²y. Recall that tan y = x. -1 'x by differentiating both sides of the equivalent equation tan y = x. Substitute x for tan y.

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SOLUTION To derive the formula lets start with the equation tan y x Differentiating both sides of th... View the full answer