9. Derive the formula for the derivative of arctan x. Hint: Use implicit differentiation on y...
doc d 1. Using Implicit differentiation derive the formula -(arcsin x) V1 - 22 2. Find the equation of tangent to the curve y = arccos(.x3 – 1) at the point (1,0).
ho Find y' if y=r=sin(wy). Hint: Use implicit differentiation
Use implicit differentiation to find an equation of the tangent line to the graph of the equation at the given point. x2 + x arctan y = y -
Calculate the derivative of z11y + yºz + xzº = 12 using implicit differentiation. (Use symbolic notation and fractions where needed.) 02 де = (-z19)/(y^9+9xz48) help (fractions)
Use implicit differentiation to find the equation of the tangent line at the given point. z? + x arctan y = y -2,
2. Use implicit differentiation to find y' a. x – 2x²y + 3xy2 = 38
dy Find by implicit differentiation for the following equation. x"y = 8x+6y +9
6x2 − y2 = 9 (a) Find y' by implicit differentiation. y' = (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ±
4. Compute the k-th order derivative for f(0) = arctan x for every k = 1,2,3,... Use the result to derive the Taylor formula for f(x) = arctans.
dy Use implicit differentiation to find dx 2x²y + 9xy2 = 9 dy dx ||