Solve the derivative in R3: r(t) = (arctan(t), 2e2t, 8tet)

Use the Derivative Rule in Section 3.8, Theorem 3, to derive d 1 sec dx x. 지 V - 1 1지 > 1.

2 a) FIND dy BY IMPLICIT DIFFERENTIATION: x4y3 = -8 dx b) EVALUATE THE DERIVATIVE FROM PART a AT THE POINT (1, -2). 3. FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF 5x + 2xy + 4y² = 25 AT THE POINT (1,2).

Use the product rule to find the derivative of (8a° – 3a") (7e" – 1) Use e^x for e". You do not need to expand out your answer.