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

Q: Which function has the same derivative function f(x) as g(x) = lnx + x² – x?

A:

Q: Q8.) By using the definition of the derivative, find the equation of the tangent line to the graph…

A:

Q: Find the actual error when the first derivative of f(x) = sin(2x) at x = 1/8 is approximated by the…

A:

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

A:

Q: Find the second derivative for the functions defined as follows.h(x) = x/ex

A: Given:             f(x)=xex

Q: Find the derivative of the function.

A: Given function is By using the properties of logarithm, ln(a/b)=ln(a)-ln(b) and ln(a^b)=bln(a), we…

Q: Find the derivative of the function ?

A: To find the derivative of a given function

Q: By using the definition of the derivative, find the for: - dx 1- f(x) = Vx

A:

Q: What is the derivative of loga x? Are there any restrictions on a?

A:

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: What is the derivative of the function f(x)=1/x+1 at x=1?

A: To find out the derivative of the function at x=1

Q: Which function has the same derivative function f (x) as g(x) = lnx + x² – x?

A: we have to find derivative

Q: Compute the derivative of the given function. fx) = xPe sec(x) help (formulas) Answer(s) submitted:

A: Use leibniz formula for the product of two or more function  for differentiation

Q: pret 30. f(x)= e2! dt 2-x

A: Given that: f(x)=∫2-xxexe2tdx

Q: Find the derivative of each function at the specified value of x.

A: We have to find the derivative of the function at the given value of x: gx=ex sinπx, when x=0. We…

Q: Find the derivative of each function at the specified value of x. (a) f(x) = sin(Te*), when x = 0

A: f(x)=sin(πex), x=0Formuladdxsin x=cos xddxex=ex

Q: Find the derivative of the function f(x) = coth−1(x2)

A:

Q: e. f. f(x) = cot(-) X f(x) = sin(x³ - x)

A:

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

A:

Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

Q: What is the derivative of the function with respect to x of (x + 1)³ – æ° -

A: Given : Function x+13 - x3   To find : Derivative of the given function with respect to x?

Q: 4. g(x) = 4x³ log, x

A: Hello! Thank you for your question. We’ll answer the first question since the exact one wasn’t…

Q: If C(x)=x' + x°, evaluate the fourth derivative at x = 2. %3D

A: To find the fourth derivative of the function: C(x)=x5+x-3 at x=2

Q: find the derivative. y = ecos−1 x

A: Given: y=ecos-1(x)

Q: : (A) By using the definition of derivative, prove that (answer only one): d d (secx) = = secx tanx…

A: As in question asked to answer only one therefore I am answering only first question.

Q: sinh(3x) g(x) 3

A:

Q: Use the fact that the derivative of the function g(x)=√x is g"(x)=1/2√x to find the equation of the…

A:

Q: 1. x² - 2xy + y² − 6x + 2 = 0

A:

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

A:

Q: В. f(x) = (sin ebx³ ). 3 |cot(26x) x4 -

A:

Q: What is the Derivative of the following function;  y = Arctan 2(x 3)

A: To find: The derivative of y=tan-1x32. Formula used: Chain rule of derivative: fgx'=f'gx·gx Power…

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A:

Q: For ƒ(x) = ax, find ƒ″(x) and ƒ‴(x). What is the nth derivative of ƒ with respect to x?

A: Since, we have been given that f(x)=ax-(i).Our Aim is to find f"(x) and f'''(x).Also, we have to…

Q: By using the definition of the derivative find to f "(x) 3x3 +1 1 Ve +1 x +1

A: 1. We solve first order derivative of f(x)

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given: f(x)=(1-x2) Find the derivative of given function from the left and from the right at x = 1…

Q: Use the definition to find the derivative of the function f(x) = Vx +1 and obtain the equation of…

A:

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. f(x) = 2^x {ln[cot(x)]}^2

A:

Q: Find the first derivative of the followin the result whenever possible. V4 – x² 1.y = x arcsin=-

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The derivative of xª at x = e is equal to .Soloot ono

A:

Q: 2. If f (x) = xV x + 3, find the derivative of this function and the slope of the tangent line at…

A: Product rule of differentiation: (fg)'=fg'+gf' The slope of a tangent line at (a,b) is given by:…

Q: find the derivative by using the definition of a deriviative.f(x)= 1/3x+2

A: according to definition of derivative we will evaluate the derivative of f(x)

Q: f(x) = x*Inx

A: TO FIND 5th order derivative f(x) = x4 lnx FORMULA USED  BIPART PRODUCT RULE OF DIFFERENTIATION…

Q: The derivative of x at X = 1 is to I Frue or false 2

A:

Q: Prove, by Showing all steps i that the 1. derivative of arcos x is 1-メ

A: Derivative of arccosx is -1/√(1-x2)

Q: Find the derivative of the function f(x) = x sin(6x + 14)+ In(5z+9) Answer:

A:

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

A:

Q: Find the derivative. f(x)=tanh(2 + e^3x)

A:

Q: Find the indicated derivative. f (x) = x² In x + sec a; find f"(x).

A: