Workout exampleUse the product rule to differentiate y = (3x + 1)(x2 + 5)Step one will be to identify the numbers for the letters of the product rule to replace with from the function given, so we have; u = 3x + 1 and v = x2 + 5Now we need to find dv/dx and du/dx, or we need to differentiate the u and v since this is required by the product rule. We can now use the product rule since we know the values for the letters. Our answer would be 9x2 + 2x + 15
Example 2Differentiate x5exu = x5 and v = ex We can then use the product rule since we know the values. Differentiate x2(x+inx).
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