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3.5 Implicit Differentiation Flashcards

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7463235831When to use-If it is impossible to solve for y explicitly -If it is difficult to solve for y0
7463239315Steps to do implicit1. Differentiate both sides of the equation with respect to x 2. Apply the chain rule 3. Solve for dy/dx1
7463249854Derivative of sin⁻¹x1/√(1-u²), |u|<12
7463269811Derivative of cos⁻¹x-1/√(1-u²), |u|<13
7463272375Derivative of tan⁻¹x1/ (1+x²), x∈R4
7463281289Derivative of csc⁻¹x-1/(x√(x²-1)), |u|>15
7463281290Derivative of sec⁻¹x1/(x√(x²-1)), |u|>16
7463281305Derivative of cot⁻¹x-1/(1+x²), x∈R7
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