Question

Find local maxima and minima of y
() y = x - 6x² + 9x+15​

Answer 1

Answer:

dy/dx=1-12x+9

for maxima and minima dy/dx=0

1-12x+9=0

x=10/12

d²y/dx²=-12<0

so at x=10/12

function maxmimum value

put x=10/12 in equation to find max value