f(x2)=x3 then find f'(x)
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Answered by
3
given,
f(x²)=x³
→let y =x²
x=√y
then f(y)=(√y)³
f(y)=y^(3/2)
then f(x)=x^3/2
f'(x) =3/2 x^1/2
I hope this will help u
f(x²)=x³
→let y =x²
x=√y
then f(y)=(√y)³
f(y)=y^(3/2)
then f(x)=x^3/2
f'(x) =3/2 x^1/2
I hope this will help u
dhathri123:
:)
Answered by
1
f(x²)=x³ let y =x²
x=√y
then f(y)=(√y)³
f(y)=y^(3/2) then f(x)=x^3/2 now differentate with respect to
f'(x) =3/2*x^(3/2-1) =>f'(x) =3/2* x^1/2
x=√y
then f(y)=(√y)³
f(y)=y^(3/2) then f(x)=x^3/2 now differentate with respect to
f'(x) =3/2*x^(3/2-1) =>f'(x) =3/2* x^1/2
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