How do you find the instantaneous rate of change of $f (x)= x ^2 +2 x ^4$ at $x=1$ ?

Question

11065 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-08-04T18:48:03

$10" unit/sec."$

We know that, the Instantaneous Rate of Change of $f$ at $x=1$

is given by $f'(1)$ .

$f(x)=x^2+2x^4 rArr f'(x)=2x+2(4x^3)$ .

$:."The Reqd. Rate"=f'(1)=2+8=10" unit/sec."$

How do you find the instantaneous rate of change of f (x)= x ^2 +2 x ^4f (x)= x ^2 +2 x ^4 at x=1x=1?