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carldaveblanco:

find the differential of the given function y=3x^4-5x^3+x-4

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@smokeybrown

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@jhonyy9

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SmokeyBrown:

Hello and welcome to QuestionCove! To take the differential of the polynomial form like this, we can take the exponents of each component and subtract 1 from the exponents. At the same time, we would multiply each component by a constant equal to the original exponent. For example, the differential of x^3 would be 3*x^2 because we subtract 1 from the exponent (3) and multiplied the component by the original exponent (3). Can you use this method to try finding the differential of this expression? I will be happy to check your work or guide you if you need assistance.

carldaveblanco:

can i get the answer ?

SmokeyBrown:

You can, indeed, by doing the math. I'm sorry, I'm not allowed to give direct help. We can start with the first component, 3x^4 If we take away 1 from the exponent (4) and multiply the component by (4), what do we get?

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