Please help with these calculus questions

7. [-/1 Points] DETAILS LARSONET5 3.5.040. Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3) X Your answer cannot be understood or graded. More Information Folium of Descartes: (4/3, 8/3) y 2 -2 -1 X N 3 -2 Need Help? Read It Watch It Talk to a Tutor Submit Answer8. [on W] mount-.153\". Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y 3)7- = 37, (4, 4) Need Help? Use logarithmic differentiation to find dy/dx. y = ( x + 1) ( x - 7) (x - 1) (x + 7) x > 7 Part 1 of 6 The given function y is positive for all x greater than seven. Hence, the function In y is defined defined in the domain of x. Obtain the natural logarithm of the function y, using the logarithmic properties In ab = In a + In b and In( ) = Ina - >- In b, where a and b are positive. In y = In(x + 1) + + In ( x - 7 ) - - In (x - 1 ) - In(x + 7) Part 2 of 6 Use the rule for logarithmic differentiation, ( In x ) = PX Obtain the derivative, 1 y dy dx x+ 1 v 1 + 1 X - 7 1 x - 1 x + 7 0 Part 3 of 6 Simplify the expression. dy = 7 1 1 dx X 1 x + 1 - + x - 7 x - 1 x + 7 Rearrange the terms on the right side. dy = dx 1 * + 1 x - 1 - + X - 7 * + 7 ) Submit Skip (you cannot come back).6. [0/2 Points] DETAILS PREVIOUS ANSWERS LARSONET5 3.5.033. Find dy/dx by implicit differentiation and evaluate the derivative at the given point. tan(2x + y) = 2x, (0, 0) dy C X At (0, 0) : y'= Need Help? Read It Watch It Talk to a Tutor