(2x2 -r+1) In(x)+2(cos(z² +3)| f(x) =

Q: 3x' +5 (3x° +5)* (6x)+(3x° +5) (3)(-3x - 4) (-3) -75-8x)

A:

Q: Find the derivative of the following function. Derivative rules, and possible algebra rewriting, are…

A: We have to find derivative of the function g(x).

Q: 5. h(x) — 2л? (Зл2 — 5х + 11) -

A: To find the derivative of hx= 2x23x2-5x+11

Q: Decide, whether the function w = z2 + 3z has a derivative (and where) and then find it.

A: Complex number: A number of the form z=x+ιy where x and y are real numbers, is called a complex…

Q: Calculate the first derivative of the function. Use the correct notation to label your answer. S(2)…

A: f(x)=x+x+xdifferentiate w.r.t xf'(x)=12x+x+x×(1+12x+x×(1+12x))

Q: y= log10 (3x2-5)

A: To calculate the derivative of function y =log10(3x2-5)

Q: Graph the derivative of the function in Figure, omitting points where the derivative is not defined.

A: Consider the function: y=12x2

Q: 2. Which of the following represents the derivative of the function: (1 Point) 2ty %3D

A:

Q: ах + b (|c| +|d\ #0) cx +d

A:

Q: Find the derivative of the given function.   y=x+42

A: To determine the derivative of given function.

Q: Find the derivative by the definition of each of the following functions: - + 2x

A:

Q: y = x² - ²₁ (-2,5)

A: Derivative by defination rules

Q: Find the derivatives of the following functions. 1-x 1+xyx (x> 0)

A: Given,          fx=1-xx1+xx , x>0

Q: Find the derivative of the function by definition. 1- V2x+3

A:

Q: Find the derivative of the function. f(x) = X + 8

A: Here, we need to find the derivative of f(x)=xx3+8. So,          f'(x)=xx3+8' Apply the Quotient…

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: