Find the derivative of y using the appropriate combination of rules. y = (9x + 16) ||

Q: Find the derivative of the function. y = e-4x5 y' =

A:

Q: Find the derivative of y = 6x°e* + 3x° y' =

A: Given data is : y=6x3ex+3x5 To find the value of derivative y' Formula of differentiation…

Q: Find the derivative of the function and then evaluate at the given point. y= 2x - 5x; (- 1,7)

A:

Q: Use the second-derivative test, if possible, to find relative extrema of y x5 – 5x. -

A:

Q: find the derivative using the appropriate rule or combination of rules. y = e(x2+2x+3)2

A:

Q: Find the derivative of y=3x^x

A: Given,

Q: Find the derivative of the function .

A: Given: f(x) = x -6x3 To find: The derivative of the given function.

Q: Find the derivative of the function.

A: We have to find the derivative of the given function   The given function is

Q: Find the derivative of y=-3/(t-2)4

A:

Q: Find the derivative of the function. A y = 7tan-(x - V1 + x²) %3D (2* * I^ -

A:

Q: Find the derivative of y = x2-1/2cosx

A:

Q: Find the derivative of the function (x-2)2 | y = Vx2 +1' 2.

A: We use derivative of u/v=( v derivative of u - u derivative of v)/v2.

Q: Find the derivative. y = Vx2 + 1

A:

Q: Use the alternative form of the derivative to find the derivative at x=c (If it exists)…

A: Given function is fx=x3+3x2+9. We know that, f'x=limx→cfx-fcx-c Given c=-3 Therefore,…

Q: Find the derivative of the function. y = x2(8x2 - 9x) y' =

A:

Q: Find the derivative of y = ÷+; x2

A:

Q: Find the derivative of y=x(6^(−2x))

A: Explanation of the answer is as follows

Q: Find the derivative of y = x*. .5"

A: Given that: y=x5x

Q: Find the derivative of the function. y In x2+9

A: Given function is: According to chain rule of derivatives:According to the quotient rule:

Q: What is the first derivative of p(x)=3^(x^5)?

A:

Q: Find the derivative of y= (x+1)^x+1

A: Find the derivative

Q: Find the derivative of the function y=x2+3x+1x without using the quotient rule for the derivative.

A: Given: y=x2+3x+x we know that ddxxn=nxn-1

Q: Find the derivative of the function and then evaluate at the given point. y = 2x - 3x; (- 1,5) f'(x)…

A: f'(-1) = - 7  The detailed solution is as follows below:

Q: Find the derivative of the function. y = 10'-x²

A: Derivative indicates rate of change. Use the chain rule: ddxf(g(x)=f'(g(x))g'(x) Use the formula:…

Q: Find the derivative of the following using the three-step rule Зх -1 1. у3 2x+5

A:

Q: Find the derivative of f (x) = 1x , x = 0.

A: Given: f(x)=x at x=0

Q: Find the derivative of y = x2".

A: Find the derivative

Q: Find the third derivative of the function: Y = =+ VX3 %3D

A: To find the third derivative of the function: y=1x+x3

Q: Find the derivative of the function and then evaluate at the given point. y= 4x2 - 5x; (– 1,9) f'(x)…

A: The given function is y=4x2-5xThe point is (-1, 9)

Q: Find the derivative.

A: Differentiate above equation with respect to x dydx=ddx{ln(x+1x3+1)}dydx=1(x+1x3+1)ddx(x+1x3+1)…

Q: Find the derivative of the function. y = 7xe−kx

A: Differentiate both sides w.r.t xUse product rule on the right side.

Q: Find the derivative of the function and then evaluate at the given point. y 3x2-4x; 1,7)

A: To determine the derivative of given function and then evaluate at the point (-1, 7).

Q: Find the derivative of * 2 T (x) = Va + 9Vx?

A: Given: T(x)=x+9x73-2x25

Q: Find the derivative of the function y = (3x + 5)x

A: ddxln x=1x Product rule: (uv)'=u'v+uv'

Q: Find the derivative. y = In /x+5 y' =D

A:

Q: Find the derivative of y = ( 1+x2 )x

A: using logarithmic differentiation and product rule

Q: Find the derivative of y with respect to x. x7 x7 X' Inx- 98 y = 14

A:

Q: (x²+7) Yキ 7. フーX

A: We use first derivative devide rule and differentiate of y . Here i provide full solution of this…

Q: Find the derivative of the function g(x) = (3x² + 3x)e" = (æ),6

A:

Q: Find the derivative of y = xArcsinx + V1 – x².

A:

Q: Find the derivative of the function. G(x) = V1 - 9x² arccos(3x) G'(x) -

A:

Q: Find the derivative of y=x^3lnx

A:

Q: Find the derivative with respect to x: y = x3- 3*

A: The given function is: y=x3.3xWe need to find the derivative of y with respect x.Recall the…

Q: Find the derivative of the function. G(x) = V1- 9x2 · arccos(3x) G'(x) =

A:

Q: y= 4x2-2x - 3

A:

Q: Find the derivative of (x+h)²+y²=r²

A: Here the equation is x+h2+y2=r2.

Q: Find the derivative of y = x²( - %3D x2+1

A:

Q: Find the derivative of y= (x+2)x+2

A:

Q: find the derivative of the given function y^4=4xy using implicit differentation

A:

Q: Find the derivative of the function g(x) 4+ 2x = (x),6

A: