Testing for Tangent Lines
Does the graph of
Have a tangent line at the origin? Give reasons for your answer.
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University Calculus
- YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through the point (1,2).arrow_forwardFind an equation for the tangent to the curve at the given point. Then sketch the curve and the tangent together. y x = 12 +3 ( - ₁ - - - -) 3 N/W The equation for the tangent to the curve is 2 (Type an equation.)arrow_forwardListen Find an equation for the tangent line to the curve at the given point. Page 2: f(x) = -3e*, (0, –3) Show your work! Page 3: Paragraph BIU ... Page 4: T. 2.arrow_forward
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- Find an equation of the tangent line to the graph of the function at the given point, (a) use a graphing utility to graph the function and its tangent line at the point, and (b) use the tangent feature of a graphing utility to confirm your results y = (4x3 + 3)2, (−1, 1)arrow_forwardUse implicit differentiation to find an equation of the tangent line to the graph at the given point. x + y- 1 = In(x° + y°), (1, 0) y(x) = Need Help? Read Itarrow_forwardFind an equation of the line tangent to the graph of f(x) = 2x at (1,2). The equation of the tangent line is y= (Type an expression using x as the variable.) Help me solve this View an example Get more helnarrow_forward
- Find an equation of the tangent line to the graph of the function at the given point, (a) use a graphing utility to graph the function and its tangent line at the point, and (b) use the tangent feature of a graphing utility to confirm your results. Function y = (x − 2)(x2 + 3x) Point (1, −4)arrow_forwardGiven the equation of the function y=x³– 12x²+36x – find the following:arrow_forwardFind an equation of the tangent line to the curve at the given point. y = sin(x) + cos(x), (0, 1) Need Help? Read It 14. Find an equation of the tangent line to the curve at the given point. y = e* cos(x) + sin(x), (0, 1) Need Help? Read Itarrow_forward
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