Differentiate the function. y = V7 + 4e3x y' = %3D

Q: Find the indicated derivative. Find y(4) if y' = V4x – 10. y(4) = %3D

A:

Q: Find the derivative of the function. Y=3xe-3x-ex^4   dy/dx=

A: given:

Q: Find dy/dx by implicit differentiation. 8x3 + x?y – xy3 = -8x2 y' = 2/3

A:

Q: Find y" by implicit differentiation Va + Vy= 4

A: To  Determine: find the implicit differentiation Given: we have x+y=4 Explanation: we have x+y=4 so…

Q: Find dy/dx by implicit differentiation. 52) x3 + y3 = 5

A: Given implicit function : x3+y3=5

Q: Find dy/dx by implicit differentiation. x3 + y3 =1

A: The equation: x3+y3=1

Q: Calculate dy/dx using implicit differentiation. 3x + 4y3 = 7

A: 3x + 4y3 = 7 We need to find the derivative using implicit differentiation.

Q: Differentiate the function. y=(4x-4)° (3-x)? dy dx

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

Q: Find the derivative of the function. y = 2e Vx %3D

A: Given y=2e√x

Q: Find dy/dx by implicit differentiation. x3y3 − y = x

A: Consider the following equation: x3y3-y=x                    ...... 1

Q: ■ Find dy /dx  by implicit differentiation x3 + y 3 = 1

A: The given equation is x3+y3=1 Use implicit differentiation( chain rule) to find dy/dx .…

Q: Find dy/dx by implicit differentiation. 5x + y = 8 + x²y²

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Calculate the derivative: + (2t3 – 9t) dt = dz

A: Evaluate the given derivative as follows. ddx∫0x2t3-9tdt=ddx2t44-9t220x=ddx2x44-9x22-0

Q: Differentiate: F(y) (y + 9y°) yA - y?

A:

Q: Find the derivative of the function. y = ek tan(V 5x) y'(x)

A:

Q: Which is the second derivative of y=vx ? *

A:

Q: Find the derivative a) y = x sinh-(x) – Vx² + 1 b) y = cosh-(2Vx +1)

A: The derivative is calculated as:

Q: Find the derivative. y%3 log (6x) y'%3D %3D

A: It is required to find the derivative of: y=log(6x)

Q: Find the average rate of change of the function over the given interval. y =V4x + 1; between x 2 and…

A: To find the average rate of change of function y=4x+1 between x=2 and x=12

Q: find dy / dx by implicit differentiation.

A: We have to find dydx by implicit differentiation: x5+y5=16 We know the formula of differentiation,…

Q: Calculate the derivative. 1 y = log 5x y' =0

A:

Q: Integrate sec√x dx ÷ √x

A: We have to Integrate : ∫secxxdx Let x=t⇒12xdx=dt⇒dx=2xdt=2t dt Now, ∫secxxdx=∫sec tt(2t dt)=∫2 sec t…

Q: Find dy/dx by implicit differentiation. x^2/x+y = y^2+7

A: Given

Q: Calculate the derivative indicated.

A:

Q: Find dy ldx by Tmplicit differentiation. tanLx-y)=

A:

Q: Differentiate the function. y = In(eX + xe )

A: In this question first apply the property of log and then differentiate as shown...

Q: Find dy/dx by implicit differentiation. x5 + y5 = 16

A: To Determine: Find dy/dx by implicit differentiation. x5 + y5 = 16 Given: we have x5+y5=16…

Q: Find dy/dx by implicit differentiation. exly = 4x – y

A:

Q: Find the derivative of the function. y = tanh-(6x) V6 1+ 6x y' =

A: derivative of the function..

Q: Calculate the derivative. 3 y = log 3X y' =D

A:

Q: Find dy/dx by implicit differentiation. x4y1/4 = 18x+6y6

A: This question is based on the differentiation of Implicit function.

Q: Find dy/dx by implicit differentiation. x3 + 7x + 3xy - y5 = 25

A:

Q: The average rate of change of the function y = x² in the interval 2 sx< 5 is %3D

A:

Q: Find the derivative of the function. y = 13 arctan V (v²) y' =

A: We have to find the derivative of the function  y = 13 arctanx.

Q: The average rate of change of the function y = sinx over the interval [0, ]is 4

A:

Q: Find the derivative. 15) y = J™ V4x + 7 dt

A:

Q: Differentiate the function. y = Sint + π Cost

A: To differentiate y=sint+π cost

Q: Find dy/dx by implicit differentiation

A:

Q: Find the derivative of the function. y = 4sin(Tx) y' = %3D

A:

Q: Find the derivative of the function y = (4x + 5)°(5x + 1)~ª. dy dx II

A: For the solution of the problem follow the next step.

Q: ■ Find dy /dx  by implicit differentiation 2x3 + x 2  y - x y 3 = 2

A: 2x3+x2y-xy3=2

Q: Find dy/dx by implicit differentiation. 2Vx + vỹ = 5

A:

Q: 3. y = Vx*

A:

Q: w(x) %3D хе*

A: To find the second derivative of function w(x)=xex

Q: Determine the derivative of y. y = ev12x+8 %D

A:

Q: Differentiate the function. y=[(sx +2x+3) (x-3)]² dy dx II

A:

Q: Which is the first derivative of y=vx ? *

A: Given Data: y=x Formula: d(xn)dx=nxn-1