Find the first derivative of the following implicit function. x² + 3xy + y² = 4

Q: y = In(x + Jx² +1)

A: This question is based on differentiation.

Q: Find the derivative of the function. 3x 9(x) = e+5.

A:

Q: Find the derivative of the following function. y = (In |x+4|)7

A: given that  by using chain rule

Q: Calculate the derivative of the following functions. y = cos7/4(4x3)

A: We use the power rule and chain rule to find the first derivative.

Q: Q1:- Find the first order derivative of each of the following functions: e) y = 1 + x'nx

A: Given that y = 1 + xlnx . We find its first derivative. We know that d(xn )  /dx = nxn-1  Here i…

Q: Calculate the derivative of the following function. y=e5x(5x+6)4

A: see below the calculation

Q: Find the derivative of the function.

A: We know that, logbx=y if and only if, x=by. Also, logbxn=nlogx

Q: Find the first derivative with respect to the independent variable of the following functions: 15P…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the derivative of the function. y = In(e7x + 5)

A: Given y=ln(e7x+5)

Q: Find the second derivative (y") of the following function step-by-step and simplify the final…

A: The given question has been solved in detail

Q: Find the derivative of the following functions. [x-1 14. y= Vx+1

A: Note: As per company guidelines we are supposed to solve only 1 question. So, kindly repost the…

Q: Use the Chain Rule to find the derivative of the following functions.

A: To find the derivative of y=1-ex4 using the chain rule. Solution: Chain rule of differentiation…

Q: xArctanx - Invx2 + 1 = y y = (e3x+4 +2)/(e2+3x +1)

A: To find the y'' of the given function , we use chain rule for differentiation.

Q: Find the second derivative of the following function: 3x Vx y = e** +In(7e¬x + 5x³) – 52x +

A: Given,

Q: Find the derivative of the function. 1 + e5x e 5x 3x e

A:

Q: Find the derivative of the following function. f(x) = eax+bx+1,

A:

Q: e3x-e-3x Y = e 3x+e-3x 4. t2 y= 72-1 5. X = t-1

A:

Q: Find the first derivative of the following implicit function. x3 + y3 + 3 xy2 = 8

A:

Q: y = √√2x + 7

A:

Q: Find the second derivative of the function. f(x) = (3 + 2x)e−3x

A: Given:The given function is f(x)=(3+2x)e-3xTo find:The second derivative of function f(x)

Q: Calculate the derivative of the following function. 4x y = e **(4x- 1)9

A:

Q: Compute the derivative of the following function. f(x) = 8x e 2x f'(x)= ]

A:

Q: Compute the derivative of the following function. f(x) = 3x e 3x f'(x) = O

A:

Q: Find the first derivative. x= -6t + 4t+ 1 xp dt

A:

Q: y = e(-x2+3x-4 )

A: Given: y=e-x2+3x-4

Q: Evaluate the following and determine the second derivative Find y' if x2+ 4x + y = 0

A:

Q: Compute the derivative of the following function: f(x) = –6e3x +3

A:

Q: Find the first derivative of the following functions and simplify your answer. 1.) y=( 5x-2' 2.)…

A: We will use the following formulas : (f(g(x))' = f'(g(x)) g'(x)  uv' = vu'-uv'v2 1.) y = x3+15x-24…

Q: 1. Find the first derivative of the following functions: y = f(x) = -(2x + x³)-2 + 4x (2x+4)² (a)…

A:

Q: y² x2 + 1 9.

A: Given function is x2+y29=1

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

A:

Q: +1. y=+ 5х-2 y=(2x² – 3)(x+5)

A: The equation for derivative are, y=x3+15x-24 y=2x2-3x+5

Q: Find the derivative of each function of y = e5x

A: We have to find the derivative of the given functuon y=e5x

Q: y = 5v 3vã х

A:

Q: Find the derivative of the following function 1. f(x) = 5x' - 32x + e?

A:

Q: x + y + xy = 21

A: The function is given as , x+y+xy=21 find the second derivative.

Q: y = (1+x)² 2 x² 2

A:

Q: Q2: - Find the second derivative of the following function at x = 2 1) y=+ V

A: ddx1x = -1x2 ddxxn = nxn-1 ddxx =12x

Q: 6. v(y) = In (y² – 8y – 1)

A:

Q: Solve for the derivative of the following Exponential Differentiation. 1. y = 92x^2 + 3x +1 2. y =…

A:

Q: Calculate the derivative of the following functions

A: y=1-e-0.05x-1

Q: Find the first derivative of the following implicit function: X² + 3xy + y² = 4

A: Given : x2+3xy+y2=4 Lets take first derivative  Take derivative with respect to x. apply the power…

Q: 3 g(x)=Vx² – 2x %3D x3-2x+5 f(x)= x²+3x

A: Consider the given: Use the chain rule of derivative: ddxfu=dfdu·dudxChainrule Find the first…

Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of…

A:

Q: find the following third derivative of y=(3x+2)2

A:

Q: Find the second derivative of each of the following functions. s=1/2t-1 y=x2tan2(3x

A:

Q: Find the derivative of the given function. e5x (2x+1)5 f(x) = In Vx2+1

A:

Q: Find the derivatives of following functions e2x f(x) 1- ex

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: y = (x² + x + 1)²

A: