 Hello friends and how are you all today? The question says, choose the correct answer. The slope of the normal to the curve y is equal to 2x square plus 3 sin x at x is equal to 0 is 3 1 by 3 minus 3 or minus 1 by 3. Now here we need to choose the correct answer. Now let us solve the question a little bit. We have y as 2x square plus 3 sin x. dy by dx will be equal to 4x plus 3 cos x and dy by dx when x is equal to 0 is equal to 3. Right? We know that slope of normal is equal to minus 1 upon dy by dx. Right? That will be minus 1 upon dy by dx that is 3. So the answer is minus 1 upon 3. So part D is our required answer. Hope you understood it well and enjoyed it. Do have a nice day.