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Math Help - Definition of a derivative question

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    Definition of a derivative question

    I know how to do this question when it comes to polynomials, but I dont know how to use them when it comes to square roots or trigonometry. I presume theres an identity when it comes to the trig part, but ive been trying for too long.

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    Quote Originally Posted by iPod View Post
    I know how to do this question when it comes to polynomials, but I dont know how to use them when it comes to square roots or trigonometry. I presume theres an identity when it comes to the trig part, but ive been trying for too long.

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    Here you can find some good similar questions + answers to them.
    Derivatives Using the Limit Definition
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    Quote Originally Posted by iPod View Post
    I know how to do this question when it comes to polynomials, but I dont know how to use them when it comes to square roots or trigonometry. I presume theres an identity when it comes to the trig part, but ive been trying for too long.

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    For example. \frac{\sqrt{x+h}-\sqrt{x}}{h}=\frac{1}{\sqrt{x+h}+\sqrt{x}} \rightarrow   \frac {1} {2 \sqrt{x}} , by multiplying both numerator and denominator

    by the conjugate of the original numerator.

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