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Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

differentiate calculus?

Differentiate calculus

Find expressions for dy/dx when i) y = 2t^2 ii) y = (1+2u)^4

I would really appreciate some help on these. I have no idea where to start.

2 Answers

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  • raj
    Lv 7
    1 decade ago
    Favorite Answer

    y=2t^2

    dy/dt=4t

    dy/dx=dy/dt*dt/dx

    dy/dx=4t*dt/dx

    (1+2u)^4

    dy/dx=4(1+2u)^3*2*du/dx

    in the above problems are you sure you want dy/dx or dy/dt in the first case and dy/du in the second case?

  • Anonymous
    1 decade ago

    Use the power rule for (i). Use the chain rule and the power rule for (ii), where 1+2u is the argument for w^4. In both cases, remember to apply the chain rule and multiply dt/dx for (i), and du/dx for (ii), assuming you meant to determine dy/dx for both.

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