(х + 4)3 y = (х*)Vx2 + 1

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

A:

Q: Find the derivative of the function. 8y9 y= In V+9 6.

A: The solution are next step

Q: Find the derivative of y with respect to x. 4. (x² - y²)² = 4ay²

A:

Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: 2 -

A: Chain Rule : (fg(x))' = f'(g(x)).g'(x). d(ax+b)ndx = n.a(ax+b)n-1 dtanxdx = sec2(x)

Q: Find the derivative of h(t) = 15€ + - VE + 6 %3D

A:

Q: Compute the derivative of the given function. g(t) = 2t - In(2 – 5t) %3D

A: Given that: g(t)=23t.ln(2-5t)

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

A:

Q: Find the derivative of the function. A y = 7tan-(x - V1 + x²) %3D (2* * I^ -

A:

Q: compute the derivatives indicated. f(x, y) = 3x²y – 6xyª, and ax2 ay2

A:

Q: find the derivative of the function y=-5(8x^2+7)^-6 dy/dx=___?

A: Given function is :  y = -5(8x2 + 7)-6

Q: 2. Calculate the derivative of the following. y = (x*- 3x2+5x) 3 y = tan (x2 + 5x - 2) А. B. (4x +…

A: Given  A. y=(x4-3x2+5x)3 B. y=tan2(x2+5x-2)C. y=(4x+3)3(x-2)2D. y=x2ex2-1

Q: Find the requested higher-order derivative for the given function. d3y of y = x" - sec(x) dx3

A: Given that y=x11-secx and we have to find third order derivative of y with respect to 'x' that is…

Q: Find the derivative of fG Cos' (3x²) 2. %3D

A: Consider the given function:…

Q: What is the derivative of y cos e4- 2 7

A: Solution is given below:

Q: Find the derivative of the funtion: y = ( – 8x + 3) –³(6 – a -7)" dy da

A:

Q: Find the second order derivative of ycos³(2x).

A:

Q: Find the derivative of * T (x) = Va + 9 Væ? 2.

A: Given T(x)=x+9x73-2x25…

Q: Find the derivative of the function. y=e 8x-5 In (8x-5) dy

A:

Q: d. y = ار نے

A:

Q: 1. D, (x') 2. D, (5x) 3. D. (x-2x)

A:

Q: Evaluate the derivative of the function. y%3Dsec(6 In 8x) -1(6 In 8x) dy %D dx

A: The objective is to find the derivative of given function

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In x² + y²

A: Given,            f(x, y)=3xy2+2xy+x2ln1x2+y2

Q: Find the derivative of y with respect to x. 8x y = tan 3 - 24 O A. 64x2 + 9 O B. 64x2 + 9 24 Oc.…

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Q: Find the derivative of the following: y = 2x* + + 3a? – 7 O y' = 8x³ + a² + 6x O y' = 8x + 2æ² + 6x…

A:

Q: Compute the derivatives. Use the fact that e2+x = e2 . ex to find d/dx (ex+2).

A: ddxex+2

Q: Find the derivative of y = arccos 4x with respect to x. - 4 4 а. b. 1-4х* V1-4x? - 4 - 4 с. d.…

A:

Q: Find the derivatives of the functions defined as y = cos (4e2x)

A: Given information: The function is y=cos4e2x. Concept used: Chain rule of…

Q: Find the derivative of y with respect to x if y = (12x - 24x + 24) e - 3x. y' =D %3D

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

Q: Q4: Find the second derivative of f(x) = %3D (cos^2) 7x: *

A: The given function is;  f(x)=cos2(7x) We have to find: f''(x)

Q: Find the derivative of the following using the three-step rule Зх — 1 1. y= 2х+5 2. y=Va? +x?

A:

Q: The derivative of the function y = tan(In(vx2 –- 6x + 1)) is: |

A:

Q: Find the derivative of the following using the three-step rule Зх-1 1. у3 2x +5 2. y=Va² +x?

A: Using three step rule.

Q: Find the derivative of the following using the three-step rule Зх-1 1. у3D 2x+5 2. y=Va² +x²

A:

Q: Find the given flx), + 2x derivative of function. %3D a+x

A:

Q: Compute the derivative of g(æ) = e dt. 22 -2xe -2xe O -2re

A:

Q: Find the derivatives of the functions defined as . y = cos4 x

A: Given function, y = cos4 x

Q: Find the derivative of y= (x³-1) /(x-1). O a. 2x -1 O b. 2x -3 O c. 2x + 3 O d. 2x + 1

A:

Q: Find the indicated derivative. dt for y(2.4t-3t)(2t+1.1)

A:

Q: Find the second derivative of vx - Jy= 4 when x = 1. 2 1 -1 -2

A:

Q: Find the derivatives of the functions y = 3/(5x2 + sin 2x)3/2

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x³-5x)* 1. у3D ; d'y/dx³

A:

Q: Find the derivative of y Cos3 3x+8 (x). %3D Provide your answer below: y = D

A:

Q: B. y = tan (x²+ 5x-2) %3D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: find the values of the derivatives ds/dt at t=-1 if s = 1 - 3t2

A:

Q: Find the derivative, or y', of ³ – Vy = ¿y² + 6 at (2,1).

A:

Q: et dt. · e2t 5. Find and simplify the derivative of f(x) = %3D 1 -2 In z

A: Assume g'(t) = e^t/(1-e^(2t))

Q: 1. Find the first derivative of the following. а. у%33x y = 3x² + 6 y = 2-1

A:

Q: e2x %3D e2a + 1

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: