7) f(x) = 3e In x %3D

Q: Find the derivative of the function. y = x°cos x - 10x sin x - 10 cos x

A:

Q: In y = 22 cosh1 2x

A:

Q: Find the derivative of f(x) = tan tan (3x2+2x)( Ans: (6x + 2) sec2 (3x2+2x) solution?

A: Let,

Q: Find the derivative: y = ln² (3x + 1) O y' = O O O y' = y' = y = 2 ln(3x + 1) (3x + 1) 6 (3x + 1) 3…

A: Consider the function y=ln2(3x+1). The objective is to find the derivative of the function.

Q: A second derivative Findd2y/dx2 if x2 + y2 = 1.

A:

Q: Find the derivative of the function. 1-X y arctan, 1+x y'= I3D

A:

Q: Find the derivative of f(x)=ln(x^3-x+2)

A:

Q: Find the derivative of f(z) = e2" (3z2- z)

A: Given, f(x)=e2x(3x2-x) Here, when we try to find the derivative of f(x), both chain rule and…

Q: Find the derivatives of the functions in Exercis y = xe-x + ex3

A: y=xe-x+ex3

Q: Find the derivative of the function f(x) = 2sin x %3D

A: Given       f(x)=2sin x

Q: Find the derivative of ƒ (x) = 5ª In (x).

A:

Q: Find the derivative of the function. 1 - e3x = cos y = cos 1 + e3x y' =

A: Differentiate

Q: find the derivative of the function  y'=ln(squared root of x^2-4) and  y=ln IsinxI

A: The given function is y=lnx2-4. Obtain the derivative as follows.…

Q: What is the derivative of f(x)=3cos(x)+2sin(x) at the point x=−π

A:

Q: Determine the derivative of f(x)=ln(x√x^2+1).

A:

Q: What is the first derivative of f(x) = ln 3z²+7z ?

A:

Q: 4. Find the 2nd derivative of f(x)=14-x (x)%3D

A: The give function is fx=4-x

Q: Find the second derivative of the function.

A: Given: fx=x cosx Now to find the derivative of the given function, Differentiate given function with…

Q: find implicit derivative of x^3 + x tan^-1 y = e^y

A:

Q: derivative of y = arctan(x2+ 3)

A:

Q: 12) Find the first derivative of f(x) = 3x %3D

A: Use rules of derivative

Q: 2. In y = 2" + x cosh 2x

A:

Q: 2.Find the derivative of y = In cosh x. %3D

A: Using chain rule of differentiation.

Q: Find the 139th derivative of y=cos x а. Cos x b. Sin x С. -Cos x d. -Sin x

A:

Q: Find the relative extrema using first derivative test   f(x)=(x-2)^6

A: Consider the function f(x)=(x-2)^6

Q: Find the derivative of the function. y = 3 x tanh-1 x + 3 In/1 - x2 y' =

A: Product Rule of Differentiation : d(u.v)dx = u.dvdx+dudx.v

Q: 3. Find the derivative of f (x) tan (5x + 7), by first principle of differentiation

A: Given function is By first principle of differentiation, we have

Q: sinx 3. f(x)=(x)*

A:

Q: Derivative of y with respect to x

A: taking logrithum both sides and solve the question.

Q: What is the derivative of f(x)=2sin(x) at the point x=−π/2?

A: To find the derivative of fx=2 sinx, at the point x=-π2.

Q: Find the derivative of the function. f(x) = 18 In(x) %3D

A: Derivative Question

Q: 3. Find the derivative of f(x). (a) f(x) = e cos x (b) f(x) = (2x³ 4x-¹) cotx -

A:

Q: Solve for the derivative of the function using chain rule. 7. f(x)= sin(e3x)

A:

Q: k(x) = x In x %3D

A:

Q: Can the  derivative of f(x) be zero in the interval [-1,0]

A: Given, fx = x4+8x+3  f'x = 4x3+3   We have to find the derivative of fx be zero in the interval -1,0…

Q: Find the derivative of -3x f(x) = e¯* + e2x - e %3D

A:

Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

A:

Q: Find the derivative of the function.

A: Given

Q: f(x)= sinx/cos x+1

A:

Q: ind the derivative of (a) f(x) = x^4 + 2x^-2 + 6e^x

A:

Q: Determine the second derivative of y = v5x² + 1 Determine the third derivative of y = (x² – 1) (2x3…

A: Second derivative of5x2+1 is  d2dx25x2+1

Q: Use implicit differentiation to calculate the value of derivative y' at the solution point (2, y) =…

A:

Q: the derivative of f(x) = xi at the point x = 4?

A:

Q: 9) Find the value of the derivative at the point x=2 if f (x) = xv2x – 7

A:

Q: 8) Find the first derivative of f (x) = sin 2 (x3).

A:

Q: Find the second derivative of y=x-1 at x=2

A:

Q: 4. Find the 2nd derivative of f (x) = 4-x x)%3)

A: To determine the second derivative of the function given by; f(x)=4-x Differentiate the function…

Q: Find the derivative of y = arccos x + x 1-x²

A:

Q: Find the derivative of f(x) = 3/x ln(x), f' (æ) =

A: Chufu