Question

maximum value of sinx + cos x​

Answer 1

Answer:

sinX+cosX

dy/dx=cosX-sinX

d²y/dx²=-sinX-cosX

dy/dx=0

sinX=cosX

x=45°

so we find that d²y/dx²= negative value

so 45° is the point

and the maximum value is Y=sin45°+cos45°

Y=1/√2+1/√2=2/√2=√2