What is the derivative of log a x? Are there any restrictions on a?

Q: Find the FIFTH DERIVATIVE Given: f (t)

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Q: Compute the derivative.    f'(3),   f(x) = log5 x

A: Given: fx=log5 x  ……1   To find: f'3

Q: What is the derivative of f(x)= cos(e) ?

A: Given,

Q: Evaluate the derivative of  the image  if a = 90 and b = 0.5 at x = 4 using CDA  with Δx =0.11.…

A: For the given values of a, b and c, f(x) is given by f(x)=90cos0.5xx2

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

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Q: Find the derivative of h(2) – (, ° ) Assume that a and b are constants.

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Q: What is the derivative of p(aE - bE2)?

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Q: need fast

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Q: Use logarithmic differentiation to find the derivative of the following: a. y = √((x-1)/(x3+1)) b.…

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Q: What is the millionth derivative of f(x) = e x ?

A: ex

Q: Evaluate the second derivative of  the image if a = 380 and b = 0.4 at x = 5 using BDA  with Δx…

A: The finite difference formulae can be used to calculate the derivatives of the functions. The…

Q: Find an expression for the derivative of h(x)=ln(f(x)). answer in terms of f and f'.

A: The given function is  h(x) = ln(f(x))

Q: Compute the derivative of the following function. 1(x) = 3e 3x f'X)%3D

A: Topic - differentiation

Q: Find the derivative of f(x) = x"'log,(r + 3). f()=

A: The given function is: f(x)=x8log2(x+3)       =x8ln (x+3)ln 2(used change of base in logerithm)…

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: Find the derivative of the functions below: In(x) (a) g(x) = log,(x) g'(x) = (b). y- in(6x®)

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Q: Find the derivative of the function. s = t6 et

A: To find the derivative of the function use the product rule. Let's take an example: Let y=uv and u…

Q: Find the derivative [ x ] dt O O O O

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Q: Find the derivative of f( x ) = 2* log,(z + 5.5) f'(z) = %3|

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Q: Find the derivative of the following function. f (x) = log; 8x

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Q: Find the derivative of the following function. f(x) = In csch 16x

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Q: Find the derivative of f(x) = ln (x* /8 – 6x), using the properties of the logarithm. Provide vour…

A: We will find the derivative of the given function f(x)=lnx48-6x by using the properties of logarithm…

Q: Use log differentiation to find derivative of y with respect to the given independent variable

A: Topic = Derivative

Q: Use the alternative form of the derivative to find the derivative at x = c (if It exists). f(x) = x2…

A: Given f(x)=x2-2 c=5

Q: C. h(x) = = |x| x+3' x > 0

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Q: Suppose 8 (x) =sec='(x<). what is the derivative of g with respect to x?

A: We can find the answer as below.

Q: Find the derivative of h(x) = In 25

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Q: Find the derivative of the function. f(x) = logg(x) f'(x) =

A: Derivative Question

Q: Which of the following is the derivative of g(x) =x'Inx?

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Q: Calculate the derivative of this following functions: i. log,,(x* – 7) ii. ecos2x

A: Given

Q: What is the derivative of e' dt?

A: We use Leibnitz integral rule.

Q: Find the derivative of the following function, 1 f(x) = e* + In(x). x² -

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Q: Compute the derivative of the following using logarithmic differentiation. 1. y = xcotx

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Q: What is the derivative of y = log b( cos² (ax)) ? Note that a and b are real numbers.

A: we have to find derivative

Q: Find the derivative of Log(z²). 2/22 1/22 1/z 2/z

A: The correct option is 4th option.i.e. 2z .

Q: Find the derivative of the function. h(x) = log,(x + 9) h'(x) = %3!

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Q: w(x) = (x4 + Inx)9

A: w'(x) =?

Q: Give three different notations for the derivative of ƒ with respectto x

A: Definition used -     Derivative of a function -       It is the rate at which the y value of…

Q: Compute the derivative of the given function. log3 x f (x) = %3D cot x - 2x2

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Q: The derivative of (z) is

A: Solution:To find the derivative of  z¯5Formula:d(xn)=nxn-1

Q: ミr

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Q: Find the derivative of the following function. ° 4x y = In x y' =O %3D

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Q: Compute the derivative of f(x) = cot(4x).

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Q: Find the derivative of following functions. 1 g(x) = Vr2 – 1 sec-1x

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Q: Use the definition of a derivative to the derivative of the following functions. x + 3 h(x) = 2х -1

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Q: y= マ×

A: We have to find the derivative of  y = x3+14sin2xx3.

Q: y= と

A: Explanation of the answer is as follows

Q: Find the following derivative (+4) In x)

A:

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: