Your job is to estimate this special base. In other words, estimate the value of b for which, at every point on the graph of the function f(x) = b*, the derivative is equal to b*. %3D

Q: In the given question/s , find the derivative of the function.   f (x) = ln(x -1)

A: To find the derivative of function f(x)=lnx-1 differentiate both sides of the function with respect…

Q: 1. Find the function whose derivative is XV X xª – 1

A: We need to find a function whose derivative is 1xx4-1

Q: The following represents the graph of the derivative f'(x) of a continuous function.

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Q: Calculate the derivative by expanding or simplifying the function. P(s) = (4s − 3)2

A:

Q: find the derivative of the following functions

A: Given: hx=x-1x3+x2+x+1 To Find: To find the derivative of the given function

Q: Find, or approximate to two decimal places,the derivative of the function at the given number using…

A: The given function can be differentiated with respect to x. Here the function…

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: Find, or approximate to two decimal places,the derivative of the function f(x) = ex sin x at the…

A: fx=ex sinx By using graphing utility, we get

Q: Answer True or False to each of the following statements. a) The function f(x) 4 is continuous at x=…

A: We have to find As per our guidelines we have to solve three subparts

Q: Evaluate the derivative of the following function at x=0: f (x) = (e³* + x)+ 4. O 16

A:

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: The given graph represents x), the derivative of Ax), Which of the following is true? f(x)

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Q: Evaluate the derivative of the following function at x=0: f (x) =(e"+x)+ 4 O 16

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Q: f (x) = D윽과+1

A:

Q: 9. Find the derivative of the following functions (show all the steps for full credit): D f(x) = =…

A: Derivative of ex is ex

Q: 4х — у (A) х+у 4х + у (B) х+у 4х + у х+у 4х — у D х+у

A: The given function is:4x2+2xy+y2=0

Q: Choose the correct graph of the function (in blue) and its derivative (in red) below. O B. c.

A: We will use the fact that where the function has maxima and minima derivative graph will show value…

Q: Let f(x) = x – 5x. Calculate the difference quotient f(2+h)-f(2) for h = -.1 If someone now told you…

A: Given that

Q: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

A:

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

A: Given function is,

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

A:

Q: Find the critical points of the following function. f(x) = X +49 What is the derivative of f(x) = x…

A: The critical points of a function are the points where f'(x)=0. To differentiate the given function…

Q: If f and g are the functions whose graphs are shown, let  u(x) = f(g(x)),   v(x) = g(f(x)), and…

A: The given graphs of f and g are

Q: Find the derivative of the following functions.

A: Find the derivative of the following functions.

Q: h(x) — Зсosh 1 Csc

A: Let's find.

Q: Give the derivative formula for the function. h(x) = 12(1.7*) h'(x) =

A:

Q: The graph of a function is shown together with the tangent line at a point P. 10 9. 8. 7 6. 4. 3 2 1…

A: Here from Graph Red line tangent to given function f at point p  so derivative of f is equal to…

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

A: Derivative Question

Q: 5e* Find the derivative of f (x) Зех+1

A:

Q: Find the given higher-order derivative. f(3)(x) = /x5, f(4)(x) f (4)(x) =

A: Given,f3(x) =x56d3f(x)dx3= x56 = z(say)We have to finddzdx= d(d3f(x)dx3)dx = d4f(x)dx4 = f4(x)

Q: Find the derivative of h(x) = e$ec(x-n)

A: dexdx=ex dsec(x)dx= sec(x) tan(x) d(xn)dx=n.xn-1

Q: Shown below is the graph of f'(x), the derivative of f(x). f'(x) -3

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

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Q: Match the graph of the above function with the graph of its derivative. O O O O O Customize and…

A: Given Graph

Q: Find the derivative of the following function at the indicated point from the graph of y=​f(x).…

A: Given:   f(x) = - 2x + 5    At x = 5

Q: Find the derivative of each of the following functions. (a) f(x)= (a² – Va) - e

A: Given: fx=x2-xex

Q: The following function is given: f(x) = x- 2x3 (a) What is the derivative of this function with…

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.

Q: Find the derivative of the following functions at a given point x= a (g) f(x)=- a=4.

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Q: The derivative of a constant times a function is 0. OTrue O False

A:

Q: The derivative of the function ein(10) is equal to

A:

Q: find the following derivative: g(x) = e^3x / 2-x^3

A: find the following derivative: g(x) = e^3x / 2-x^3

Q: x +2 f(x)= x - 3

A:

Q: Suppose k is a real number. Use the definition of the derivative to find f' (x), where f(a) = k/T.…

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Q: What is the first derivative with respect to x of the function g(x)= 4/9 * О 4/9 O 4 O 12

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

A:

Q: Find the derivative of the following function. 8x +1 h(x) = X +7

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Q: Consider the following functions (on the given interval, if specified). Find the derivative of the…

A: Given function is y≡fx=e3x+1

Q: Find f’ (x), i.e. the first derivative of the question below f (x) = (x - 4) (x – 1)

A: Topic:- derivatives

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: