Find the derivative of the given function. Fill the missing expressions. Use logarithmic differentiation. y = x• secx Vx² + 1 Step 1. Take the absolute value of both sides. lyl = x• secx · /x2 + 1 Step 2. Take the natural logarithm of both sides. In ]y| = In x· secx /x² + 1 secx · Step 3. Expand using the properties of Logarithm Inly| = Inx + In|secx| + Step 4. Differentiate both sides. 1 D,(Inlyl) = D, [Inx + In|secx| + In(x² + 1)] 1 1 .· Dz(secx) + 1 D,(x² + 1) 2 x2 + 1 1 = -+ 1 secx tanx + 1 2x 2 x2 + 1 Step 5. Multiply both sides of the equation by y to solve for y' ' = y · (- tanx + (x2 + 1)) Step 6. Substitute y with the given function. y' 1 + 5cotx + 3(x +1) (1 – x2),

Q: Use logarithmic differentiation to differentiate the following function.  f (x) = 2x

A: fx=2x

Q: Use logarithmic differentiation to expand and differentiate y =(x+4)8 / sqrt x4+9

A: we have given y=x+48x4+9now apply log both sides ,we getlog y=logx+48x4+9=8log(x+4)-12log(x4+9)now…

Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

A:

Q: Use LOGARITHMIC differentiation to differentiate the function Simplify where necessary

A:

Q: Use logarithmic differentiation for the following: (2r-7) -1 a. Find y' given y b. Find y' given y =…

A: Here we will use basic rule of logarithm and derivatives.

Q: 6. Differentiate using the logarithmic differentiation: a. y 3 (2x²-3)5 4 (4x²-3x+1)7(6x+2)z b. y =…

A:

Q: Use logarithmic differentiation to find dy/dx. (x + 1)(x – 2) x> 2 %3D (x – 1)(x + 2)" dy %3D

A: Topic : differentiation