Ax) = Vã Vx = /x хх e

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 function.

A: The given function is f(x) = ln(xex+2).We have to find the derivative of this function with respect…

Q: Find the derivative. h(x) = In(cosh(7x)) h'(x) =

A:

Q: Find the derivative of: 9e 7sin ( 3x*) Use e^x for e". -

A: We use chain rule to find the derivative.

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

A:

Q: Compute the derivative of f(x) = 7 ln (x + 10) + In (x³ ): Answer: f'(x) =

A: Given function is  f(x)= 7ln(x+10) + ln(x3), we have to find the derivative of f(x) with respect to…

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

A: Answer

Q: Find the derivative of z=tan(e^-7w) dz/dw

A:

Q: Find the derivative of y with respect to x of y = xlnx – x.

A: Using rules of differentiation.

Q: Find the derivative of the function. rcos(x) y = In(1+2t)dt sin(x)

A: Applying Leibniz rule

Q: 1 Find the first derivative given that f(x) = xdx +

A:

Q: compute the derivative. f (x) = ln(ex − 4x)

A: We can use chain rule ( Nested function form ) of differentiation to find the derivative. According…

Q: Find the derivative of the function. 1 3x' g(x) = dt 1 + t4 Jtan x

A: Given : g(x) = ∫tanx3x211+t4dt

Q: Find the First Derivative of the Given Function: 2.) x=sec53t

A:

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

A:

Q: Evaluate the derivative of y =e* sinh (2x). -3x

A:

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

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = (x2 ln x)4

A:

Q: Determine the derivative of g ( x ) = 3 e-4 x*sin(7 x) with respect to x. = (x), 6

A: As per the guidelines, we need to author the 1st question.  We know that product rule is given by…

Q: 3x g(x)=e* In(4x+1) (с)

A:

Q: Find the derivative of y with respect te X /3 %3D

A: Finding dy/dx

Q: Use three-point midpoint formula to evaluate the first derivative of y = cos(x) at x =; using a…

A: The three-point midpoint rule to calculate f'(x) is f'(x)≈f(x+h)-f(x-h)2h, where h is the step size.

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = x4/4 ln x - x4/16

A:

Q: find the derivative of the funciton y=xe^(5x)

A:

Q: Find the derivative of the function  f(x)= e^-3x ln x

A: Given function is

Q: Find the derivative of the (e) h(x) = e5 sin (Væ) + a° sec ()-

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

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 y with respect to x, t, or θ, as appropriate. y = 1/ln 3x

A: Given:

Q: find the derivative of y with respect to the givenindependent variable. y = log4 x + log4 x2

A: Given: By using logarithm base change rule, the function can be rewritten as follows,

Q: Find the derivative of the following using the three-step rule 2. y=Va² +x

A:

Q: The derivative of xª at x = e is equal to .Soloot ono

A:

Q: 2. If f (x) = xV x + 3, find the derivative of this function and the slope of the tangent line at…

A: Product rule of differentiation: (fg)'=fg'+gf' The slope of a tangent line at (a,b) is given by:…

Q: Find the derivative of h(x) = (1+ cos x)*

A:

Q: Find the derivative of f(x) = 4e 3x + e -x^2 f(x)= ?

A:

Q: 1. Find the first order derivative of u = x*.

A:

Q: What is the first derivative of g(x) = ln #*+1? x2

A: Derivative of ln(x):       ddx(ln(x))=1x Division rule of derivative:-…

Q: 1 erivative of x²+2

A:

Q: Find the derivative of g(x) = fecost dt.

A:

Q: find the derivative of y with respect to the givenindependent variable. y = 2x

A: y=2x

Q: Find the derivative of f (x) =arcoth (e³" ).

A:

Q: find the derivative of y with respect to the givenindependent variable. y = log5 ex

A: On simplification, we get

Q: ez Inx II Inx

A: I have used multiplication rule for derivative

Q: Find the derivative of the function. h(x) = x² arctan(8x)

A:

Q: Find the first derivative of h(x) if h(x) = cos (x – 2x) -

A: h(x) = cos2(x3-2x)

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln 3x + x

A:

Q: Find the derivative of V(x) = ln(sin x) – (x4 – 3x)10

A: We can find the derivative as below.

Q: Find the derivative of the following:

A: We have to find derivative of given function where function are given by

Q: Find the first derivative of v with respect to x

A: Given,