The pdf of a continuous RV X is given by f(x) = cos(Ax)+ 10, where x E [0, -1. Find the value 2A of A + 0.

Q: Evaluate the first derivative of the following functions: g(x) : = cosx – sinx f (x) = 4x²cosx g(y)…

A:

Q: Find the derivative, dy/dx: y = x² In x3 ý =- 2 1-4 ln x x³ In? x 3. ý = -2 In x – 2x | y = --(- 3…

A:

Q: Find the implicit differentiation by using Total Derivatives a function, x³ cos(2y) – 3x4 + 2e³y

A: Given problem:- Find the implicit differentiation by using Total Derivatives a function,   x3…

Q: Find the derivative

A: The first derivative of f(x) is represented byf'(x) and the second derivative is represented by…

Q: Find the derivative of the function. 2x F(x) = arctan(t) dt Vx F'(x) : %D

A: The given problem is to find the derivative of the given definite integral function. We have to use…

Q: Find the derivative of F(x) = 4 sin(t) dt. 3x %3D dx cos(x)

A: Solve the following

Q: Show that the function f(x) = 1/2 e−|x|IR(x) is a valid pdf.

A: Let the function is given by, fx=12e-x      for Rx Further we simlified it as, fx=12ex      for…

Q: Find the derivative of f(x) = e2" (3a? - x)

A:

Q: Find the derivative of the inverse of f for t = 0,

A: The derivative of a definite integral is given by the second fundamental theorem of calculus as…

Q: Use the Product Rule to differentiate the function. f(x) = x° cos(x) f '(x) = %3D

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: