Differentiate each equation with respect to x. Leave you answers in terms of only y and x. Homework Help ✎
y = 7ln(x + 1) − x2
2x + 2y = e
y = etan(x)
(5x + 1)2 + (y + 1)2 = l
for part (a). Be sure to leave all parts in terms of y and x only.
for part (a).
Write the equation of the tangent line at x = 3 for part (a).
Is the tangent line an over or under approximation? Use part (f) to determine your answer.
The equation for the tangent line is y − y(3) = y'(3)(x − 3).
Translation: Evaluate the 2nd-derivative (that you found in part (e)) at x = 3.
Is the graph concave up or concave down?