Tutorial Exercise Use the Product Rule to find the derivative of the function. g (x) = (x2 - 7x + 4)(x3 - 1) Step 1 The Product Rule states that the derivative of the product of two differentiable functions can be found with this formula. "[ F ( x ) g ( x ) ] = f( x)g' (x ) + g ( x ) f ' ( x ) Use the Product Rule to find g'(x). g' (4) = (x2 - 7x + 4) (x3 - 1) + (x3 - 1) (x 2 - 7x + 4) = (x2 - 7x + 4) x3 - 1 * ) + ( * 3 - 1 ) ( x2 - 7x+ 4