1. ne derivative of f(x)= S (x) %3D Jx+5 S0 howemod ngieeAdeW wheban

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: 2. Calculate the derivative of the following y= (*- 3 + Sx) B. Ytan (x+ Se-2) (4x + 3) Tx-2) A. C.…

A:

Q: 1. If y = x³ + x - 5 then what is the derivative of y with respect to x?

A: Derivative of a function

Q: Find the derivative of the function.

A: Given, To evaluate derivative

Q: Can you help me step by step?

A: Given function is

Q: 2. Calculate the derivative of the following. B. Y= tan(x+ 5r-2) C. y=- (E +24) :(2-)

A:

Q: 3. Find the first derivative of y = (x² – 4x + 1)5. %3D

A: The given equation is y=x2-4x+15. Calculate the first derivative of the given equation. Here we use…

Q: . The derivative of y = xe + e" is D. ex А. хе В. хе + е^ С. exе-1 + е‑

A: Given: y=xe+eπ

Q: Find the first order derivative with respect to y of the function u = log(x + x² – y2)

A: Using derivatives.

Q: Calculate the second and the third derivative of y =ar y" -(8/(pix^5)) -(48/(nix^7))

A:

Q: OFind the second derivative of y = 4Vx + E + 10

A:

Q: Find the derivative of the function.

A:

Q: What is the derivative of y e2x –1

A:

Q: 2) Let y = xe* and find the first derivative y'. Where is y'>0?What does this tell you about the…

A:

Q: Find the derivative of the function y = coth−1 (e2x)

A:

Q: V3 8. arccos (x ++ y) + x² = 3 when x

A: we have to find out

Q: What is the derivative of y = e2 +1, with respect to x?

A: Formula used

Q: Find the nth derivative of the function y=ln(ax+b).

A: Given function is Differentiating with respect to x repeatedly, we get In general,

Q: 4 Find the derivative of the function y= f(x)= Jx(x-8). %3D

A:

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: 5. What is the derivative of the given function below? * x² + y² = xy dy dy dx dx Option, dy dx = =…

A:

Q: y = e* (In x)² %3D

A: Here we want to find the first derivative of the given function. For finding the derivative we use…

Q: 1. Find the second derivative of the following functions with respect to x. y = 3x2 + 5x - 1   2.…

A:

Q: 27. The first derivative of y = is (4x+1) -24 b. 24 C. -6 6. (4x + 1)+ (4x + 1)+ (4x + 1)4 (4x + 1)*…

A: y=-2(4x+1)3

Q: Obtain the derivative of the function y y = (e*1) (In(2cos(x² – 4x))

A: The given function is: y=e3x+1ln2cosx2-4x

Q: Find the derivatives of: d/dx (ex-e-x/ex-e-x) And the derivatives of: f(x)=ln((2x+1)3/(3x-1)4)

A: the given expressions is: dex-e-xex-e-xdx the given function is: f(x)=ln2x+133x-14

Q: de IF 4c²0t = (0² – t²)² , f ind | dt

A:

Q: Find the derivative of the function y, below. y = 6x(ln a + In 5) – 8x + e ||

A: Given that y=6x(lnx+ln5)-8x+e To find the derivative of y

Q: Find the derivative of y = tanh e^(7x)

A:

Q: 1. Find the anti-derivative of the following. e" (x + 1) dx x2

A: From the given information. Anti-derivative has to be calculated to the following expression.

Q: 4) Find the derivative of each function. a. f (x) = In(x² – 4) In e c. f (x) = b. f (x) = x² ln x

A:

Q: 8) f(x)= T+x²

A:

Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

A:

Q: Can i get help step by step?

A:

Q: Find the derivative of the function f(x) = Jet – In(/x) (e+12 – 1) O (e:/2 – 1/x)

A:

Q: Find the derivative of the function y = 0.5 In (e +1).

A: See answer below.

Q: 10. Solve for the derivative of y IMPLICITLY 22 + Væ³ + 2y= y²

A: Note: According to our expert guidelines only first individual question is to be answered, kindly…

Q: In (4x) Find the derivative of y with respect to x if y = sin (8 e') dt.

A:

Q: 7) Find the derivatives in a) y = (1+e')lnt

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

A:

Q: Find the derivative of the function. y = 5 e - 5x+1 dy dx

A: Note:- Answer is given in the picture

Q: can you help me step by step with this problem?

A: Let z= 6x^2+1 Substitute that. Then take d/dx on both sides.

Q: 3. Find the derivative of y = | (12 +1) dt.

A:

Q: 1. Find the derivative of the following functions (dy/dx) at x=0 y= sin 2x – 2sec x 2. Find the…

A: We are given: y=sin 2x - 2 sec x and y = sin4 4x - cos4 4x We need to find their derivatives at…

Q: 10. Find the derivative of y with respect to x. y=(x^(6)lnx)^(4)

A:

Q: Find the derivative of the function f(x) = 3 ln(x) + e5ª. df = dx

A:

Q: Find the derivative of the function f(x) below. f(x)=ln(5−e^(−4x)) f′(x)=

A: Explanation: Given that, f(x)=ln(5-e-4x) Differentiate both sides with respect to x.…

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: