8) Find the derivative of each function: 2. a)g(x) = 3x +5x

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

A:

Q: Find the derivative of the function f(x) = (In x)°.

A: Given that,             f(x) = lnx3 Differentiating with respect to x, we get                  f'(x)…

Q: Find the derivative of the function ?

A: To find the derivative of a given function

Q: Find the derivative. g(x) = tanh-1(x?)

A:

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

A: Here the given function  hx=x+2, c=-2 The function can be written as hx=x+2,x≥-2-x-2,x≤-2

Q: 1. Compute the derivative of y = tan2(42)

A: Answer and explanation is given below

Q: B. By using the definition of the derivative, find the for: - dx f(x) = x -

A: Explanation of the answer is as follows

Q: Find the derivative of f(x) = In(x² + 1) %3D

A:

Q: Find the derivative of f(x) = (Cosx)*

A:

Q: Find the derivative of f(y)   f1(y) = ?

A: The given is: fy=6tany-y6-8y4y This function can be written as:…

Q: f(x) = cos (x – a -2).

A:

Q: A) Find an equation of the line tangent to the function of x + (y-x)' D9 atx 1. B) Using the…

A: Part A,Given,          The function is x2+y-x2=9 at x=1.

Q: Find the derivative of the function using the definition of derivative. 1 g(x) 8 + Vx g'(x) =

A:

Q: Evaluate the derivative of the function. y= sec "(2 In 8x) dx

A:

Q: Q1. Find the derivative of f(x) = 2x -- by using the definition of derivative.

A:

Q: Find the derivative of the function 3 tan (x- 2 1 x y

A: Given:

Q: 2. Use the definition of the derivative to find f'(x) and f"(x). a) f(x) = x? %3D

A:

Q: Find the derivative of the function using the definition of derivative. f(x) = rx + q

A:

Q: y = x*(1 – In x4)

A:

Q: Find the derivative of the function. y = tan(4x2 + 3)

A: The given function is y=tan4x2 + 3

Q: Calculate up to 2nd derivative the equation g(x) = -8sin (*+1) %3D

A:

Q: Find the derivative of function.

A: Given, y=3x2lnx derivative of function dydx dydx=lnx.d(3x2)-3x2d(lnx)lnx2…

Q: Find the First Derivative of the Given Function: 2.) x=sec53t

A:

Q: A) Consider the function f(x) whose second derivative is f"(x)=4x+3sin(x). If f(0)=4 and f'(0)=4,…

A:

Q: Find the derivative of the function. y = 3 tan-(x - V1+ x?

A:

Q: 8. Use first principles to determine the derivative of each function. Then, determine an equation of…

A: Since multiple questions are asked in form of subparts a,b,c,d. Where in each part we need to…

Q: Find the derivative of the function. h(x) = x² arctan(8x) %3D

A: To find the derivative of hx=x2tan-18x

Q: Find the derivative of the function. "1(* - VI + x) y = 9 tan

A: derivative

Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Find the derivative of the functiony=tan^2(6x)

A: we have to find derivative of f(x)we will use following rules

Q: Differentiate f (x) = In(vx² + 1 sin* x) and write the derivative in its simplest form.

A:

Q: tan (2x) 3. y = sin (5x–1)

A:

Q: Can you help me step by step?

A: To differentiate the given expression y=f(x)

Q: Compute for the derivative of the function f(x)= Arctan (csc2 (3x2/3))

A: Some derivative formulas: ddxtan-1x=11+x2 ddxcscx=-cotx cscx Chain rule of derivative:…

Q: Find the derivative of y with respect to x. 2x + 3 26) y = sec-1

A: Let, z=(2x+3)/5   We differentiate using the chain rule

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

A:

Q: Find the derivative of the function. g(x) = 9 + In(x)

A: We have to find the derivative of : g(x)=ex29+ln(x)

Q: Find the derivative of the function f(x) v4-x by definition

A:

Q: Find the derivative of the function. f(x) 4. + 2cos x %3D

A:

Q: Use a quick approximation to estimate the derivative of the given function at the indicated point.…

A: f (x) = 1 − 2x  point,  x = 2 To use quick approximation to estimate the derivative, f'(2).

Q: ,2, (x²–1)* Dx (1+8x)5

A: To Determine: find the derivative using chain rule  Given: we have y=x2-141+8x5 Explanation: we have…

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

A: NOTE: Refresh your page if you can't see any equations. . the given equation is take x=-6

Q: Q1: Calculate the 5th derivative of f(x)= (2x-5) sin x *

A:

Q: 14. Find the derivative of the function using the definition of derivative. f (x) = V1 – x

A: Derivatives

Q: 2x Find the second order derivative of y = Tan 1-x

A:

Q: What is the derivative of the function B(x)=3/(x+2) at x=a?

A:

Q: 1. Use implicit differentiation to find the slope and equation of the tangent line given f(x) = x³…

A: Given function is  f(x) = x^3+y^3-9  According to Bartley guidelines we can attempt only one…

Q: B) Use the definition of differentiation to find the derivative of the function f(x) = 4- Vx + 3. Is…

A: Consider the function: fx=4-x+3 The definition of derivatives is given by the formulas,

Q: 8. Use first principles to determine the derivative of each function. Then, determine an equation of…

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

Q: Shows the derivative function of: 2u² + 5u, where u = x² + 3x

A: Given:     To determine: derivative of the given function.