Question

Approximate value of 63 to the power of 1/6

Answer 1

Answer:

Step-by-step explanation:

del y= f(x+del x) - f(x)

here f(x+del x)=63^1/6

f(x+del x)=del y + f(x)

del y/del x= dy/dx

del y=dy/dx *del x

y=x^1/6

dy/dx=1/6 x^-5/6

dy/dx=1/6 *64^(-5/6)

dy/dx=1/6*1/32

dy/dx=1/192

del y=dy/dx *del x

del y=1/192*63-34

del y =-1/192

f(x+ del x) = f(x) + del y

63^1/6=2-1/192

=1.994