Question: 3. Differentiation: Differentiate the following and do not simplify: h(x) = (3x* + 4x) (5x + 8)+ [2 Marks] 4. Curve Sketching: Use the algorithm

3. Differentiation: Differentiate the following and do not simplify: h(x) = (3x* + 4x) (5x + 8)+ [2 Marks] 4. Curve Sketching: Use

the algorithm for curve sketching to sketch the following function by hand

(make sure to include 1s derivative test if necessary). Please show all

3. Differentiation: Differentiate the following and do not simplify: h(x) = (3x* + 4x) (5x + 8)+ [2 Marks] 4. Curve Sketching: Use the algorithm for curve sketching to sketch the following function by hand (make sure to include 1s derivative test if necessary). Please show all work as done in the lesson. [10 Marks] 2x2 + x- 1 f (x) = x2 - 4x + 31. Equation of lines: Find the equations of the two straight lines that are perpendicular to y = - x and tangent to the curve f (x) = + using First Principles. [5 Marks] 2. Derivatives: 5 Ify = u + 5u , where u = x + 2x" + 1, find "at x=2. dx [3 Marks]

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