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7-6.
  1. Differentiate each equation with respect to x. Leave you answers in terms of only y and x. Homework Help ✎

    1. y = 7ln(x + 1) − x2

    2. 2x + 2y = e

    3. y = etan(x)

    4. (5x + 1)2 + (y + 1)2 = l

    5. Find for part (a). Be sure to leave all parts in terms of y and x only.

    6. Find for part (a).

    7. Write the equation of the tangent line at x = 3 for part (a).

    8. Is the tangent line an over or under approximation? Use part (f) to determine your answer.

Chain Rule.

The equation for the tangent line is yy(3) = y'(3)(x − 3).

Implicit Differentiation.

Translation: Evaluate the 2nd-derivative (that you found in part (e)) at x = 3.

Is the graph concave up or concave down?