Slopes and Tangent Lines In Exercises 13–16, differentiate the functions and find the slope of the tangent line at the given value of the independent variable. 1 14. k(x) x = 2 2 + x' x + 3 16. у — x = -2
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- equation of the tangent line to the curve at the given point. y = 2 + x3 , (−1, 1)How many tangent lines to the curve y = x / (x + 5) pass through the point (1, 2)? At which points do these tangent lines touch the curve? Smaller x-value (x,y): Larger x-value (x,y):Solve for the equation of the tangent line to the curve y=3x2-4 that is parallel to the line 3x+y=4 using the slope of tangentline’s (mT) definition. Then, solve for the equation of the normal line too.
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- Finding an Equation of a Tangent Line f(x) = 7 x + 9 x ; (1, 2)Differentiate the function. Then find an equation of the tangent line at the indicated point on the graph of the function. y=f(x)=4+3−x, (x,y)=(−1,6)A function f has the tangent line y=2x+1 at the point (3,7). Find the equation of tangent line of f^-1 at the point (7,3) in slope-intercept form.
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