B. By using the definition of the derivative, find the for: dx 1- f(x) = V %3D 2- f(x) = x -!

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Find your answer below

Q: B) Using the definition of derivative, find -if y = dx 1-x

A:

Q: Find the indicated derivative. dy dx 2x² 1- 2 xª – 2x² + 3 for y -

A:

Q: Find the derivative. dy if y(x) = x + 2 dx

A: Given yx = x2+2 We have to find dydx

Q: Suppose f(x) = e**+5x+7. Find the df derivative dx f'(x) =

A: We have to find

Q: Find the derivative of the function f(x) = e(z²-3z).

A: The given exponential function has one independent variable which is x.

Q: b)Find the derivative of the function by using the derivative definition? ds if s dt 2t + 1

A:

Q: 2x+4 f(x) = (3x + 7) e.

A: Given query is to find the derivative of f(x).

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) = ∣x…

A: Concept: Derivative is the amount by which function is changing at one point. Given:

Q: Use the quotient rule to find the derivative of the following. x2 - 9x + 1 y% = x2 +2 dy dx

A: See attached file for a step by step explanation.

Q: What is the derivative of y = V(x? V(a2 – 1) (x + 1) ? -

A:

Q: Eョ2 T -(X子 ノ = (X)J fi(3)

A:

Q: Find the derivative

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

Q: Q2. Find the slope of the tangent line to the function f(x)= at x 4 by using the 2Vx definition of…

A: Given that,

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A:

Q: Find the derivative of the irrational function y=m√xn where m≠0

A: we have to find the derivative of the irrational function y=mxn

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A:

Q: Use the definition if the derivative to find dy/dx for the function y=1+×/3x

A: To determine the derivative of given function by using the definition.

Q: For what values of x is the derivative of the function Vx2+ Vx equal to 1?

A: Given,           The derivative of x23+x3 equal to 1.

Q: Find the derivative with respect to x of 1 f(x) V3x + 9

A:

Q: Find the derivative. y = In /x+7 y' = D

A:

Q: Find the derivative of the function. S(2) = VE - 8E f (x) =

A: topic - derivative of a function

Q: Why is the derivative of f(x) = e^2, 0? Would e to any power be 0?

A: Given f(x)=e2As the given function is in terms of x and the given function e2 is a constant

Q: Find the derivative. dy if y(x) = /x2 + 10 dx %3D

A: y(x)=x2+10

Q: Find the derivative of y = arccos 4x with respect to x. - 4 4 а. b. 1-4х* V1-4x? - 4 - 4 с. d.…

A:

Q: find the most general anti derivative  f(x) = e^2

A: A function F(x) is called an antiderivative of f(x) if F’(x) = f(x).   The function f(x) is the…

Q: Find the derivative of the function f(x) = 36x arccos(4x) + 9/1 – 16x? f'(x)

A: we will solve using product rule and chain rule of derivative

Q: Q2: A) Find an equation of the line tangent to the function of x2 + (y-x) = 9 at x = 1. dy x-x B)…

A: Equation of tangent line is - y- y1 = m(x-x1)

Q: Q1. By using the “definition of the derivative" find of y = v2x? %3D dx

A: Explanation and solutions is given below....

Q: Find the value of the derivative (If it exists) at the Indicated extremum. (If an answer does not…

A:

Q: The derivative of the function y = tan(In(vx2 –- 6x + 1)) is: |

A:

Q: Evaluate the derivative at the given value of x. 4) If y = 'y =- Vx, find dy dx 4

A:

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Explanation: The given function is: f(x)=-3xx+1 Find the first derivative of this function.…

Q: Find the derivative of the given functions: 2. f(x) = rcos(rx) – 6 sec(x) + 3

A: Given that, f(x)=rcos(rx)-6secx+3When r=4we have,f(x)=4cos(4x)-6secx+3

Q: Find the derivative of the linear fractional function y=ax+bcx+d.

A: We have to find the derivative of    y=ax+bcx+d ddxy=ddxax+bcx+dWe have to apply division rule…

Q: Find the derivative of the given function. y= 6x (7-6x)6 dy dx

A:

Q: Find the second derivative f"(x) for f(r) = e(z+2)*.

A: Given: fx=ex+24 for finding second derivative of given function we first take log and find first…

Q: By using the "definition of the derivative" find 2 of y = v2x? dx

A:

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A:

Q: Find derivative of the 6tanx following function d d.x

A:

Q: Find the derivative of the function f(x) = 9e6 + e_™". f'(x) =

A: To find the derivative of the following function

Q: Find the derivative dy/dx by implicit differenciation.  x2 + y2  = 100

A: Differentiate both side with respect to x and use the formula for differentiation formula for x^2…

Q: Solve by definition of derivative if f(x)=x+Vx AND also Find x? w.r.t x*

A: fx=x+x Now by the definition of derivative, we have…

Q: The derivative of the function y = 2* sec(x²) is:

A: I use product rule and chain rule to solve this derivative

Q: Use the definition of the derivative to compute dy/dx. y=2x^2-3x+1

A: Use the definition of the derivative to compute dy/dx. y=2x^2-3x+1

Q: The value of the second derivative of y = f(x) at its point of inflection is В. О D. 2 А. 1 С. -1

A:

Q: Use the definition of the derivative to find df/dx. f(x) = x/(1-3x)

A: Given, function

Q: By using the definition of the derivative, find d/dx   1/(2−x).

A:

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) =…

A: The alternate form refers here the definition of derivative.