Suppose that functions f and g and their derivatives with respect to x have the following values at x = 2 and x = 3. f(x) g(x) f'(x) g'(x) 8 2 1/3 -3 3 3 -4 5 Find the derivatives with respect tox of the following combinations at the given value of x. 2.

Q: If g(x)=4x/3, find g(4)

A: To solve these type of equality just put the value in the function then you will get your answere

Q: If f(x)= square root x​,find f′(3).

A: Given  f(x) = square root x        = √x        = x^(1/2)

Q: f(x) = xe-2x

A: Step 1: Step 2: Step 3: Step 4:

Q: f(x)=-6x+3 find f(1/2)

A: Given: fx=-6x+3 To find: f12

Q: f(x)=4x-x2. Simplify f(a+h)-f(a)/h

A:

Q: Let ​f(x)=4x−1 and ​g(x)=x2+ 5.   Find ​(f◦​g)(0​).

A: Composition of function is found by plugging the inner function in place of variable of the outer…

Q: Find f ′(x). f(x) = 6x15 − 7x3 + 2

A:

Q: f(x + h) – f(x) If f(x) = x - 5x + 1, find h

A: Given- fx=x2-5x+1 To find- The value of fx+h-fxh

Q: f(X) = 2/X       g(X) = X+1/9     (What is the domain?)

A:

Q: f (x) = x-5>2

A: The given inequality is x-5>2. Solve this inequality as follows.

Q: find concavity and inflection point?  f(x)=x2 (8-x2)1/2

A: Find the derivative of f(x).

Q: F(x)=8+2x

A: Given information: F(x)=8+2x

Q: Solve for r figh) (x)) end

A: Solution

Q: f(x) = = -9x 1- x

A: f(x)=−9x1−x

Q: f (x) = x +3 Find f(-4) x

A:

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.