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answerhappygod
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Please Answer ASAP
Please Answer ASAP
1 -1 Derive the formula dy dx for the derivative of y = tan 'x by differentiating both sides of the equivalent equation tan y=x. 2 1+X To begin the derivation, use implicit differentiation to differentiate both sides of the equation tan y=x. The result from the differentiation is dy = 1. Solve for dy dx dy sec cy = 1 1 dy dx Divide both sides by sec?y sec?y Now, perform a trigonometric substitution for sec?y. 2 sec y = dy Therefore, dx 11 Recall that tan y=x. 2 1 + tany 1 dy dx = 1 + tany 1 Substitute x for tany. 1+ Therefore, for y = tan - 1 X dy dx 11 1 2 1 + x
1 -1 Derive the formula dy dx for the derivative of y = tan 'x by differentiating both sides of the equivalent equation tan y=x. 2 1+X To begin the derivation, use implicit differentiation to differentiate both sides of the equation tan y=x. The result from the differentiation is dy = 1. Solve for dy dx dy sec cy = 1 1 dy dx Divide both sides by sec?y sec?y Now, perform a trigonometric substitution for sec?y. 2 sec y = dy Therefore, dx 11 Recall that tan y=x. 2 1 + tany 1 dy dx = 1 + tany 1 Substitute x for tany. 1+ Therefore, for y = tan - 1 X dy dx 11 1 2 1 + x
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