estimate the instantaneous rate of change at the point indicated.f (x) = ln x; x = 3

Q: Find the instantaneous rate of change of the function at the specified value of x. f(x)=(x−3)/(x+5)…

A: Given data:     The given function is: f(x)=(x-3)/(x-5).   The expression for the rate change of the…

Q: The graph of the function y = 2 ln(2x + 5) + 7 is reflected about the x-axis. The equation of the…

A: Given query is to find the equation of the reflected function.

Q: Find y1 y=(ln x)-1

A:

Q: Find the second derivative of the function. . f(x) = 4x3/2 : 1. g(x) = %3D X-1 .. h(x) = secx

A:

Q: termine the derivative of the function g(x) In x+ 10 %3D r- 10

A:

Q: 11. In y = e" sin x

A:

Q: Find the derivative of the function. f(x) = 2x In 2x %3D

A: Given, f(x)=2xln2x To find the derivative of f(x).

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.