Find the gradient of the tangent to the curve y=4x^2 - 7x at x = 2
First, we differentiate our equation using the power rule:dy/dx = 8x - 7This is the gradient of our tangent, to the original equation, at any point x. So, to calculate the gradient at x = 2, we substitute this value into dy/dx.So, we have: gradient = 8(2) - 7 = 9 as required.
LA
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