 Hello friends and how are you all doing today? The question says, find the slope of the tangent to curve y is equal to x cube minus x plus 1 at the point whose x coordinate is 2. So we are given the equation of the curve y as x cube minus x plus 1. We need to find out the slope of this tangent. So we need to differentiate y with respect to x. And on doing so we get dy by dx equal to 3x square minus 1. Right? And we need to find the slope when x coordinate is 2. So we have dy by dx at x is equal to 2 equal to 3 to the whole square minus 1 which is equal to 3 into 4 minus 1 which is 12 minus 1 and the difference we have is 11. So the required slope for this question is 11. Take care of your calculations and hope you enjoyed it.