If f(x) ƒ'(x) = 2 - x² 7+x² find:

Q: Find the difference quotient en-7 for each of the given functions. B. f(x) = 3x + 2 Find the slope…

A: Solution

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

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

Q: Find the domain and range of f(x)= (ex)/(1+ex)

A:

Q: fG)=4x-3 SC) = (f of ) (x)=

A: Given fx=4x-3.

Q: A3) Find the equation of the line tangent to the graph of f(x) = 6x3 + 5x2 – 5x – 4 at z = -4. %3D

A: Firstly, we will differentiate f(x) and put x=-4 to find the slope of the equation then we will find…

Q: What happens to the values of f(x)=(x2-2x-3)/(x2-3x) as x ->0 ?

A:

Q: Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

A: Given that Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…

Q: Find the function ƒ with the following properties. ƒ'(x) = 3x2 - 1; ƒ(0) = 10

A: Given, f'x=3x2-1f0=10

Q: Find the slope of the curve f(x)= x2 at the point P(2,4)

A:

Q: Write the equation of the line tangent to f (x): x2 – 3x + 5 at the x

A: To find an equation of the tangent line of f(x)  at the point x=0

Q: Find derivative

A: Given, f(x)=2x+3