1, Find the first and the second derivative of f(x): f(x)=x

Q: Find the derivative of the function.

A: Given: To find: Derivative

Q: Find the derivative of the function.…

A: The given function is hx=x2arctan8x

Q: Find the derivative of the function f(x) = (In x)°.

A: Given that,             f(x) = lnx3 Differentiating with respect to x, we get                  f'(x)…

Q: Find the derivative of the function.

A: Given function is By using the properties of logarithm, ln(a/b)=ln(a)-ln(b) and ln(a^b)=bln(a), we…

Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

Q: Find the derivative of the function f(x) = x√ln x

A: Here given Use the formula of product rule of derivatives as

Q: Find the second derivative of the function.         f(x) = csc x

A: Differentiating with respect to x, we get

Q: What is the derivative of the function f(x)=1/x+1 at x=1?

A: To find out the derivative of the function at x=1

Q: Find the derivative of the function. y = In(x8)

A:

Q: What can we use to find the derivative of a function when it is impossible or difficult to isolate y…

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 first and second derivative of any function defined implicitly by yx2+ y2= x

A: Given,           yx2+y2=x

Q: Find the second derivative of the function.

A: Given: fx=sec x To Find: The second derivative of the given function

Q: Find the derivative of the function 3 tan (x- 2 1 x y

A: Given:

Q: 2. Find the first derivative given that f(x)=x√√x + 1 x²√x

A:

Q: Find the derivative of the function. f(x) = 2x In(x) f'(x) =

A: Let us consider the given function as: fx=2xlnx By using product Rule of derivative, we get:…

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

A: Solve the given problem.

Q: Find the derivative of f (x) = 9ª ln (x).

A: Given: f(x)=9xln(x)

Q: What is the derivative of the function with respect to x of (x + 1)³ – æ° -

A: Given : Function x+13 - x3   To find : Derivative of the given function with respect to x?

Q: Find the derivative of the function. x + 6 X-6 y' = y = In

A: I have appended the formula used in the solution part of the question.

Q: Find the derivative of the function.

A: Given that, f(x)=ln(x-1)   As we know, ddxln(x)=1x Chain Rule Of derivative, If…

Q: b) Find the derivative function of f(x) = √5x - 1 using first principles.

A:

Q: Find the derivative of g(x) =

A:

Q: Determine the 3rd derivative of the function y=x3/x+2 at x=−1.

A:

Q: Find the second derivative of the function.     f(x) = x cos x

A: Given: fx=xcosx for finding second derivative of given function, we find first derivative then…

Q: Find the second derivative of the function.

A: Given the function: g(x)=x + ex  ln(x) We have to find the second derivative of the function. Let's…

Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: find the first derivative of   F(x) = e(x+5)

A: Given,

Q: Find the derivative of the function. f(x) = x6 ln(x)

A:

Q: Can you help me step by step?

A: To differentiate the given expression y=f(x)

Q: Find the derivative of the function. f(x) = ex - xe

A:

Q: Find the derivative of the function. 10 f(x) = + 6cos x Vx

A: Differentiate above equation with respect to x

Q: Find the derivative of the function. f(x) = 4 3√x + 2cos x

A: The given function is ; f(x)=4/3sqrt(x) +2Cosx.

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 thousandth derivative of f(x) = xe -x

A: Given function,  f(x) = xe-x  To find the thousandth derivative of f(x)

Q: Find the derivative of the function.

A:

Q: Compute the derivative of the function f (x) = tan x2 +1

A:

Q: Determine the 8th derivative of y with respect to x of the function : f(x) = 1 / 1 + x2 and find the…

A:

Q: Find the derivative of the function using the definition of derivative. 1 f(x) V5 + x

A:

Q: Find the derivative of f(x)=sec(x)

A:

Q: 7. Determine the derivative of the function with respect to x. ソミx

A:

Q: Find the derivative of the function. x + 4 f(x) = In X – 4 | f'(x) =

A:

Q: 15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

A: topic - derivatives

Q: Find the second derivative of the function f(x) = sec2x

A: Given: f(x)=sec2(x)

Q: What is the derivative of the function B(x)=3/(x+2) at x=a?

A:

Q: 1. Use the definition of the derivative to find the derivative of f(x)- V-x-2

A:

Q: Find the derivative of the function. h(x) = ets. - x + 1

A: Differentiate w.r.t x

Q: Find the derivative of f(x)= ln x^2/x^2+1

A:

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

A: Chufu