Pictured above is the graph of f', the first derivative of a twice differentiable function, /(x), on the interval O <* < 10 such that (2) = 8.843. The equation of f'is defined by f°(x) = 4xe-x/3) sin(x). Answer the questions that follow. d. Approximate the value of (2.4) using the equation of the tangent line drawn to the graph of fat × = 2. Is this approximation an over or under approximation of the actual value of /(2.4). Give a reason for your answer.

Q: What is the derivative of y = cos² x?

A: According to the chain rule of differentiation:

Q: 4. At what point on the graph of y = x² is the tangent line parallel to the line 2 e line 2x - 4y =…

A: Note: as per guidelines we support only first question in first request.

Q: Find the first derivative for y = 5 cos x

A: Given,          y=5cosx

Q: 17. Find the first derivative for J(x)=tan0x sec0

A:

Q: Find the x-value(s) where the graph does not have a derivative. The x-value(s) where the function…

A:

Q: Simplify the function, then find the derivative. f(x) = ln (x√x² - 1)

A: Given:We are required to find:

Q: 2. Find the derivative. a. y = sin x

A: