if f(t)=3t^2i-4tj+5k and u(t)=t^2.Find (f(u))'(t).

1.	if f(t)=3t^2i-4tj+5k and u(t)=t^2.Find (f(u))'(t).
Answer» As f(t) & u(t) is given, when we put the value of u(t) in function f then, f(u(t)) = 3t^4 i -4t^2 j + 5k; then f(u(t))' = (12t^3) i -(8t) j. when we write that function including time in that function then we will write it as, (f(u)')(t)* = (12t^3) i -(8t) j.

Answer»

As f(t) & u(t) is given, when we put the value of u(t) in function f then,

f(u(t)) = 3*t^4 i -4t^2 j + 5k; then f(u(t))' = (12*t^3) i -(8*t) j.

when we write that function including time in that function then we will write it as,

(f(u)')(t) = (12*t^3) i -(8*t) j.

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if f(t)=3t^2i-4tj+5k and u(t)=t^2.Find (f(u))'(t).

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