If F(x) = f( 2f( 4f( x ))), where f(0) = 0 and f '(0) = 3, find F '(0).
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i am learning derivatives rite now and i have to use the information available and solve it.. i don't have an idea.. confused.. can some one else please help me with it !!
Originally Posted by doboy If F(x) = f( 2f( 4f( x ))), where f(0) = 0 and f '(0) = 3, find F '(0). let $\displaystyle w=4f(x)$ $\displaystyle u=2f(w)$ then $\displaystyle F(x)=f(u)$ Now by the chain rule you get $\displaystyle \frac{dF}{dx}=\frac{df}{du}\frac{du}{dw}\frac{dw}{ dx}=...$
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