We begin by recalling that one way of defining the derivative of a function is the slope of the tangent line of the function at a given point. Therefore, finding the derivative of our equation

Find an equation for the tangent line to the given curve at the point where x=x_0 y=(x^2-3x-3)(2-x);x_0=1 y=-12x+7 y=4x-9 y=-12x-17 y=4x-1. CameraMath is an essential learning and problem

Finding the equation of the tangent line at a point

Finding the Tangent Line to a Curve at a Given Point Step 1: Find the {eq}(x,y) {/eq} coordinate for the value of {eq}x {/eq} given. If {eq}x=a{/eq}, then we have {eq}(x,y) = (a,f(a)){/eq}.

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Math is more than just a set of numbers and equations. It's a way of thinking that can help you see the world in new and exciting ways.

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Mathematics is the study of numbers, shapes, and patterns. It is used to figure out problems and to make things work.

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