Find the derivative of the function. Vs - 4 f(s) = Vs +2 f'(s) =

Q: Find the derivative of a power function with the negative exponent y=x−n.

A: We will use the power rule:

Q: Find the derivative of the function. y=x? ex y' = ]

A: y=x7ex To find y'

Q: Find the derivative of the function. y = 6sin(πx)

A: Formula:

Q: Find the first derivative of the function y = 2ArcsinV(x/2) %3D

A: Consider the given function, y=2Arcsinx2 It also can be written as, y=2Arcsinx2=2sin-1x2

Q: Find the derivative of the function. y = 3x e -X - 3 ex3 dy dx

A:

Q: Find the derivative of the function. y'(x) =

A:

Q: Find the derivative of x/ex^2.

A:

Q: Find the derivative of the function. 12) y = 2 secó x

A:

Q: Find the derivative of the function 10 5 VX f(x) f '(x)

A: The given function is,

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

A: Here, the given function is: f(x)=4x3+2cos x

Q: Find the derivative of the function. y%3=

A:

Q: Find the derivative of y=ln[x^3(x^2-5)^3/4]

A:

Q: Find the derivative of the function. y = (ln x)4

A:

Q: Find the derivative of the function f.

A:

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

A: Given:

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: Calculate the derivative of the function y=1+cosxsinx.

A: Given: y=1+cosxsinx we know that for finding derivative of given function we need to use product…

Q: Find the derivative of the function y=2√x−3sinx.

A: Given: fx=2x-3sinx for finding derivative of given function we use property given below…

Q: Find the derivative of y with respect to the independent variable. y= 5 Vi

A:

Q: Calculate the derivative of the function y=2√x+33√x.

A: Given function is y=2x+33x Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

Q: Find the derivative of the function y = ln(9 – e-"). f'(x) =

A: Given that y=ln(9-e-x) To find : Differentiation  y'=f'(x)=ddx(ln(9-e-x))=19-e-xddx(9-e-x)=e-x9-e-x

Q: Find the derivative of the function. y = 2eVx

A: The chain rule for differentiation is given by ddxfgx=f'gx.ddxgx.

Q: Calculate the second derivative y : Vx - /y = 1

A:

Q: Find the derivative of the function. 4 y=デ

A:

Q: Find the derivative of the function. 2 + 2

A: To find the derivative of the function, y=rr2+2

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

A: Given that: y = cos1-e3x1+e3x To find: We have to find the derivative of the given function.

Q: Find the derivative of the function. y = 3 tan(x - V1 + x 1 + x2 y' = ||

A:

Q: Find the derivative of the function. f (x) = 1/ ( 1+ sec x ) 2

A: Consider the given function, fx=11+secx2 it can be also written as, fx=1+secx-2 now differentiate…

Q: Find the derivative of the function .

A: Given a function f(x)=2x3+3 cos x f(x)=2(x)1/3+3 cos x      =2x-1/3+3 cos x We, use the following…

Q: Find the derivative of the function. 8 +- +/5 y= 4. dx %3D

A:

Q: Find the derivative of the function Зх + у Зx + y = Зх

A: Given function,

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

A: First I have written the formula of quotient rule of derivative, just use the rule for given…

Q: Find the 3" derivative of the function y=f(x) given by the equation y' = 2x.

A:

Q: Find the derivative of the function y = cosh−1(3x)

A:

Q: Find the derivative of the function. Vs - 1 f(s) = Vs +5 l'(s)=]

A: Given query is to find the derivative of the function.

Q: Find the derivative of the function. f(x) = ln 2x/(x + 3)

A:

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

A:

Q: Find the derivative of the function y 5sin(x)

A: Consider the given function

Q: Find the derivative of the function.

A:

Q: Find the derivative of the function. Vs - 3 f(s) = Vs +3 %3D

A:

Q: Find the derivative of the function. y = -5e- - 4x2 dy dx

A: Solve for the derivative

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

A: hx=ex8-x+1

Q: Find the derivztive of the function

A: Topic :- derivative

Q: Find the 3rd derivative of the function y=exx.

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: Find the derivative of the function. y = 5x 9. 3 - 13x - ヤ dx

A: y=5x3-13x-9x7

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

A: Differentiate w.r.t x

Q: Find the derivative of the function y=√x.

A: Given, y=x

Q: Find the 1st derivative of the function: y = 4(Vx + 1)5

A: Given that: y=4(x+1)5

Q: Find the derivative of the function. y = tan VX- X- 3 y' =

A: Given function is: y=tan-1x-3