Suppose =V1+ Vx. What is the correct result of the derivative of g with respect to x? A 8'(x) = 2/1+ Vx B 8'(x): 8'(x) = 4V1+ V 1 8'(x) = +x

Q: Find the derivative of f(x) = COS 4 log3 (x²) os(5x)

A: Explanation of the answer is as follows

Q: Find the derivative of function.

A: To find the derivative of the given function                                                y=log…

Q: Find the derivative of k(x) = log3(x) cos

A:

Q: What is the first derivative of s(x) = 4e.

A: Given function - s(x) = 4ex-3Differentiating on both sides with respect to x - ddxs(x) =…

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

A:

Q: 4) Find the derivative of the function: x* cos x h(x) %3D Vx2 + 1

A: Answer

Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: Eョ2 T -(X子 ノ = (X)J fi(3)

A:

Q: A) Find an equation of the line tangent to the function of x + (y-x)' D9 atx 1. B) Using the…

A: Part A,Given,          The function is x2+y-x2=9 at x=1.

Q: Find the derivative of y with respect to x. 2. y²(x + 2y) = e²

A: Given,

Q: 1 y = V2x+5 /2х+5

A: By see this solution

Q: Solve the first derivative of f(x) = 52x+1 at x = 0.5 using backward finite-divided difference and a…

A:

Q: 6. Determine the derivative of the function with respect to x. y = x2 – V2x +1

A: Solve the given problem.

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

A: Formula used

Q: Compute the second derivative with respect to x of 3x3 + 8 y = at x = 1.

A:

Q: 4. Find the first order derivative with respe. to x of the function u = In/x2 + y2 + z2 %3!

A: The function is u=lnx2+y2+z2

Q: Find the most general anti-derivative of f(x) = 9Vx +1+ cos x.

A:

Q: Consider the derivative function h (x) = 5x³ + 3x² – 4x + 4. What is the general antiderivative of…

A:

Q: 4. Find the second derivative of Y with respect to x for 4x² + 8y² = 36

A:

Q: Find the derivative of y with respect to x. y = cos1 (5x2 + 4) 10x + (5x2 + 4)2 -10x Vi- (5x2 + 4)?…

A: The given function is  y= cos-1(5x2+4)  We have to find the derivative of this function w.r.t. x

Q: In(x), Sn (4t + et) dt. Find the derivative of F(x). 3.

A:

Q: 3x g(x)=e* In(4x+1) (с)

A:

Q: Use three-point midpoint formula to evaluate the first derivative of y=x2+5x−1y=x2+5x−1 at x=0x=0…

A: Given function is y=x2+5x−1. We have to evaluate the first derivative of y=x2+5x−1 at x=0 using a…

Q: Compute the derivative: x4 – 4 d - at x = 2 dx x2 – 5 - The derivative is:

A:

Q: What is the first derivative of the expression (xy)× = e?

A: See the details solution in below

Q: Let y=x(lnx)^2. Find the value of x for which the second derivative y"(x), equals zero.

A:

Q: Find the derivative of the function. f(x) = e In( Vx + 8 f'(x) =

A: Given, f(x) = ex ln(x+8) We have the formulas d(ex)/dx = ex                       ...........(1)…

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

A:

Q: find the 2nd derivative of the function defined implicity by the equation x^1/3+y^1/3=80

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. In x 20) у 3

A: Given

Q: Find the derivative of the function. *sin(x) y = Jcos(x) In(6 + 3v) g'(x) =

A: use Lebniz's Rule:   d/dx ∫[a(x),b(x)] f(t) dt =f(b(x))b' - f(a(x))a' Here, a(x) = cos(x) b(x) =…

Q: The 60th derivative of x with respect to y of y = x^60 is 60!x

A:

Q: y = V5х+7

A:

Q: f y = (sin x)x b

A:

Q: find the first derivative in the form of dy/dx y=(3x-ln(x))^5

A:

Q: Find the derivative of the function. f(x) = ln x/(x2 + 1)

A:

Q: find the derivative of f(x)=(x^4+3x^2+8)cos

A:

Q: Find the nth derivative of the function y=xlnx at x=1.

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate.

A: On simplification, we get

Q: Compute the derivative for y= (e^-4x sin^2(x)) / (x^2 + 3x + 1)

A:

Q: 10. Solve for the derivative of y IMPLICITLY 22 + vx³ + 2y= y²

A: Topic =Derivative

Q: Compute the second derivative with respect to r of 3x + 8 y = at x = 1.

A:

Q: 8. Find the derivative of y = In(3t) dt.

A: To Determine: Find the derivative of given integral:…

Q: If g(z) = 6z-2), then its derivative is given by:

A: For simplification, take natural logarithm on both sides of the equation gx=6x2-2 and apply the…

Q: Find the derivative of the function: f(x) = Vx + Vx + 1 1 +

A: