1) What should we do when we do implicit differentiation? a) write a dy/dx at the back after we differentiate y term b) dy/dx = dy/dt divided by dx/dt c) bottom part of dy/dx , equate to 0 d) dy/dx = dx/dt divided by dy/dt e) use y - y1   = m ( x - x1 ) f) top part of dy/dx , equate to 0 2) What should we do when we do parametric differentiation? a) write a dy/dx at the back after we differentiate y term b) find dx/dt, dy/dt, lastly, dy/dx = (dy/dt )divided by (dx/dt) c) bottom part of dy/dx , equate to 0 d) find dy/dt, dy/dx, lastly, dy/dt = (dy/dx )divided by (dx/dt) e) find dx/dt, dy/dt, lastly, dy/dx = (dx/dt )divided by (dy/dt) f) top part of dy/dx , equate to 0 3) What should we do when the question tells us the tangent is parallel to x - axis? a) write a dy/dx at the back after we differentiate y term b) dy/dx = dy/dt divided by dx/dt c) bottom part of dy/dx , equate to 0 d) dy/dx = dx/dt divided by dy/dt e) use y - y1   = m ( x - x1 ) f) top part of dy/dx , equate to 0 4) What should we do when the question tells us the tangent is parallel to y - axis? a) write a dy/dx at the back after we differentiate y term b) dy/dx = dy/dt divided by dx/dt c) bottom part of dy/dx , equate to 0 d) dy/dx = dx/dt divided by dy/dt e) use y - y1   = m ( x - x1 ) f) top part of dy/dx , equate to 0 5) What should we do when we want to find equation of tangent? a) write a dy/dx at the back after we differentiate y term b) dy/dx = dy/dt divided by dx/dt c) bottom part of dy/dx , equate to 0 d) dy/dx = dx/dt divided by dy/dt e) gradient of tangent is dy/dx, use y - y1   = m ( x - x1 ) f) top part of dy/dx , equate to 0 6) dy/dx = 3. Which is true? a) m tangent = 3, m normal = - 3 b) m tangent = 3, m normal = - 1/3 c) m tangent = - 3, m normal = 1/ 3 d) m tangent = - 3, m normal = - 1/3 e) m tangent = 3, m normal = 3 f) m tangent = 1/ 3, m normal = - 3 7) d/dx ( x3 ln 2y ) a) 3x 2 ln 2y + (1/2y) x3 b) 3x 2 ln 2y + (1/y) x3 c) 3x 2 ln 2y + (1/y) 2x2 d) x 3 ln 2y + (1/y) 2x3 e) 3x 2 ln 2y + (1/2y) x2 f) Too difficult 8) d/dx ( cos 2x )3 a) 3 sin 2x cos2 2x b) - 6 sin 2x cos2 x c) - 3 sin2 2x cos2 2x d) - 3 sin 2x cos2 2x e) 6 sin 2x cos2 2x f) - 6 sin 2x cos2 2x

Differentiation - Recap

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