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Math Help - differentiation

  1. #1
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    differentiation

    how do I go about this the high power exponents has me lost

    t(x)=x^5 - 2x^3 + 4x^2 + 5

    whats the gradient of tangent line when x=2
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  2. #2
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    Quote Originally Posted by wolfhound View Post
    how do I go about this the high power exponents has me lost

    t(x)=x^5 - 2x^3 + 4x^2 + 5

    whats the gradient of tangent line when x=2
    Just use the formula \frac{d}{dx}x^n=nx^{n-1}

    This is true for all exponents n.

    The derivative of x^5 is 5x^4. If there is a constant, such as in the function 2x^3, you just mulitply it by the exponent. So the derivative is just 6x^2.

    So what is the derivative of x^5- 2x^3 + 4x^2 + 5 ???
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  3. #3
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    Quote Originally Posted by adkinsjr View Post
    Just use the formula \frac{d}{dx}x^n=nx^{n-1}

    This is true for all exponents n.

    The derivative of x^5 is 5x^4. If there is a constant, such as in the function 2x^3, you just mulitply it by the exponent. So the derivative is just 6x^2.

    So what is the derivative of x^5- 2x^3 + 4x^2 + 5 ???
    5x^4- 6x^2 + 8x
    so gradient is 72?
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