For f(x)=3x^4, find dy/dx using the definition, dy/dx=limΔx→0 Δy/Δx= limΔx→0 f(x+Δx)−f(x)/Δx.   (a) First, evaluate Δy=f(x+Δx)−f(x) and express it in the form Δy=L(x,Δx)⋅Δx. Use dx to represent Δx. Δy=                   (b) Using the L(x,Δx)Δx above, find the simplified derivative dy/dx= limΔx→0 Δy/Δx. dy/dx= limΔx→0 Δy/Δx=

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