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

Q1 of 168 Page 211

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

The given curve y = 3x⁴ – 4x

Then, the slope of the tangent to the given curve at x = 4 is given by,

= 12(64) – 4

= 764

Therefore, the slop of the tangent is 764.

Prove that the function given by f (x) = x³ – 3x² + 3x – 100 is increasing in R.

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

Find the slope of the tangent to the curve

at x = 10.

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