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in this video I'm going to show you how
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to find the equation of the tangent to
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the curve let's jump straight into it
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now the slope of the tangent at any
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point on the curve is given by the first
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derivative of the function g(x) hence
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given as g(x) = -x - 2x^2 + 11 x + 12 so
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let's find the first derivative of g(x)
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by using the power rule the power rule
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for differentiation states that the
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derivative of a variable raised to a
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power n is n times the variable raised
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to power n1 the mathematical formula is
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shown above on the slide using the power
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rule the first derivative of -x first
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derivative of -2x^2 will give us -4x
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first derivative of 11x is 11 and first
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derivative of 12 a constant is zero now
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equation of the gradient will then give
