Using linearization, show that sin(x) ≈ when ≈ 0. Apply that to approximate sin(√0.0001).

Use properties of a right triangle, trigonometry, and implicit differentiation to determine the derivative, y', of the function below. Show all steps, and label the right triangle. y = sin 1(3x) 1.

Find inverse please

Find the derivative using the product rule. Simplify so no negative exponents remain. Explain each step

Determine the equation for the tangent to the curve y= sin(2x + π/3) at the point with x-coordinate π/3. Use calculus to solve the problem. Show all the steps including the derivative.

Find derivative

Find the derivative: y = x2 tanx+ 4 cosx + In 59x x4+ sinx cosx

Please help me

Find the derivative

Please help me answer this question. Thank you.

Using correct notation, find the second derivative of: y = 3 sin x- 5x.

Find the inverse function of y = 8x/(x+1). Please show steps.

Solve for derivative