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wtfmate08
wtfmate08 asked in Science & MathematicsMathematics · 1 decade ago

Need some Calculus help?

I need to differentiate this. Can someone show me how but STEP BY STEP? And what rule do I use? Chain? Product? Both?

The function is (3x^2+7)(9x+sqrt(x))

1 Answer

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  • Dave
    Lv 4
    1 decade ago
    Favorite Answer

    First, you need to foil out everything in the parentheses.

    f(x) = (3x^2+7)(9x+sqrt(x))

    f(x) = 27x^3 + 3x^5/2 + 63x + 7x^1/2

    Now you can take these derivatives by using the power rule.

    f'(x) = 81x^2 + (15/2)x^(3/2) + 63 + (7/2)x^(-1/2)

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