when working with higher derivatives each time we differentiate a polynomial the degree decreases by 1.(adsbygoogle = window.adsbygoogle || []).push({});

I am asked to find the second and third derivatives of this polynomial: y=(x^4)(e^x)

I get the following (pretty sure it's right):

y`= (x^4)(e^x) + 4(x^3)(e^x)

y`` = (x^4)(e^x) + 8(x^3)(e^x) + 12(x^2)(e^x)

y``` = (x^4)(e^x) + 12(x^3)(e^x) + 36(x^2)(e^x) + 24(x)(e^x)

I thought the degree's of the polynomials were supposed to decrease with each differentiation? Isn't each polynomial still degree 4?

Where is my error

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# Homework Help: Question regarding Higher Derivatives

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