Find the slope of the tangent to the curve at x = 10. The image shows the mathematical equation of a curve, y = (x-1)/(x-2), with the condition that x is not equal to 2.

Q2 of 168 Page 211

Find the slope of the tangent to the curve
at x = 10.

The given curve is y =

Then, the slope of the tangent

Therefore, the slope of the tangent is .

The interval in which y = x² e^–x is increasing is

Find the slope of the tangent to the curve y = 3x⁴ – 4x at x = 4.

Find the slope of the tangent to curve y = x³ – x + 1 at the point whose x-coordinate is 2.

Find the slope of the tangent to the curve y = x³ –3x + 2 at the point whose x-coordinate is 3.