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Calculate the slope of the curve

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\$$f(x)=\\var{a}x^3-\\var{b}x^2+\\var{c}x+\\var{d}\$$

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at the point where \$$x=\\var{f}\$$.

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\$$slope = \$$ [[0]]

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Slope of a curve at a point

\$$f(x)=\\var{a}x^3-\\var{b}x^2+\\var{c}x+\\var{d}\$$

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The equation for the slope of a curve is found by differentiating the function.

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\$$\\frac{df}{dx}=3*\\var{a}x^2-2*\\var{b}x+\\var{c}\$$

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To find the slope at a particular point we simply insert the x-coordinate value into this equation.

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Slope = \$$3*\\var{a}*\\var{f}^2-2*\\var{b}*\\var{f}+\\var{c}\$$

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Slope = \$$\\simplify{3*{a}*{f}^2-2*{b}*{f}+{c}}\$$

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