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Core 1, differentiation maths help!

1) Y = x^4 + x^1/3 + 3, find dy/dx

2) Y = 8x^5 - 4x^3 + x - 3 - x^-2, find dy/dx
What are you having trouble with specifically? If you have been taught how to differentiate with the power rule I can't see how these are causing you any specific trouble.
Best advice is to watch a video or use a maths book to learn how to differentiate. Your examples are the basics of differentiation, once you know how to differentiate then they should be fairly straightforward.
Original post by georgiefulcher
1) Y = x^4 + x^1/3 + 3, find dy/dx

2) Y = 8x^5 - 4x^3 + x - 3 - x^-2, find dy/dx


Post what you have got so far then we can see what you don't understand.
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Avatar for ljf98
ljf98
1
So these are all fairly simple if you use the rule: if y=kx^n then dy/dx=knx^(n-1). of course not forgeting that the numbers have no power of x so they are zero when differentiated, and remember to just differentiate each term individually

so
1- dy/d x= 4x^3 + 1/3x^(-2/3)

2- dy/dx = 40x^4 - 12x^2 + 1 + 2x^-3

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