Question

if the tangent at any point on the curve y=x^3+kx^2+x+5, x belongs to R, makes an acute angle with x-axis, then which of the following is correct??
A)k<1 B)k<3^1/2 C)0 13 years ago

Answer 1

a poly is one of the most basic function to take a derivative of .....

Answer 2

but what will i do after finding the derivative???

Answer 3

an acute angle has a value between 0 and 90, the slope of a line is also the tangent of an anlge

Answer 4

in other words, slope <=0

Answer 5

ugh ... slope >= 0

Answer 6

y= x^3+kx^2+x+5

y'= 3x^2+2kx+1 >= 0

Answer 7

oh...got it! thnx...

Answer 8

:) good luck