Find the derivative of using first principle?

Q: Compute the derivative using derivative rules. y = (2e3x + 3e-2x)4

A: Solution:Given     y = (2e3x + 3e-2x)4 Formula:ddx(xn)=nxn-1ddx(eax)=a eax

Q: Compute the derivative using derivative rules that have been introduced so far y = (4 - 2x - 3x 2) 5

A: Given: y=4-2x-3x25  ……1

Q: Find the derivative of the function.

A:

Q: What is the derivative of this graph?

A: If you see graph interval (-6,-3)                              this line passes through (-4,-2) and…

Q: find the derivative of tihe unction?

A:

Q: Compute the derivative, please.

A:

Q: # Find the derivative of frz)- (2-2)"

A: Given function is fz=z-25z2+iz+12

Q: Compute the derivative:

A: Given, ddx∫0x4+t6 dt

Q: Compute the derivative using derivative rules that have been introduced so far. y = (x 4 + 5)3

A: Given equation is y=x4+53 Applying derivative with respect to x: dydx=dx4+53dx Using the power rule…

Q: Find first derivative

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

Q: find the derivative of

A:

Q: Compute the derivative using derivative rules. y = 4e -x + 7e -2x

A: Given:     To determine: derivative of the given function

Q: y = In

A:

Q: Compute the derivative using derivative rules that have been introduced so far y = √(9 +x + sinx)

A: We have to compute derivative of the function: y=9+x+sin x We know the formula of derivatives,…

Q: Find the derivative of the function without using the Quotient Rule. y

A:

Q: On which derivative rule is the Substitution Rule based?

A:

Q: find anti derivative.

A:

Q: Derive the derivative function for secx and express your answer in product form.

A: ddx(secx)=ddx(1cosx)ddx(secx)=cos(x)ddx(1)-1ddx(cos(x))cos(x)2ddx(secx)=cos(x)0-1-sinxcos(x)2ddx(sec…

Q: FIND THE DERIVATIVE OF THE FUNCTION.

A: The given function is fx=x3-3x2+4x2.

Q: Find derivative of ye cas

A:

Q: What is the derivative of * 3lnr?

A: Given that y=3ln x find the derivative

Q: Find the derivative of the function without using the Quotient Rule. y =

A:

Q: Compute the derivative using derivative rules that have been introduced so far. y = (8x4 + 5)3

A:

Q: Find the derivative of the function

A: To find: The derivative of y=cot 8x3. Concept used: Chain rule of derivative: fgx'=f'gx·gx Power…

Q: Compute the derivative using derivative rules that have been introduced so far       y = √(7x - 3)

A: To find the derivative: y=(7x-3) Solution: y=(7x-3) Differentiating both sides w.r.t x we get:…

Q: Calculate the following (using derivative rules).

A: According to guidelines we have solve only firat three subparts kindly repost other subparts as the…

Q: Identify the derivative with complete solution.

A: The given function is fx=5sec2x+20 To find: Derivative of f(x) In the given function sec(2x) is a…

Q: What is a higher-order derivative?

A: We create, or derive, a new function f'(x) from a function f(x) called as derivative of function…

Q: Find the second derivative of

A: if you find my answer helpful please put thumbs up. thank you. the required solution is given below

Q: Find the derivative of y = etanx

A:

Q: Find the derivative of the function by definition. 1- V2x+3

A:

Q: I need to find the derivative of some calculus equations

A:

Q: the derivative of

A: We find derivative of given function Use formula sin2x = 2sinx cosx

Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: Find the portial derivative of

A: Follow 2nd step.

Q: Find the derivative using the long method 3-t to

A:

Q: Find the directional derivative of the function in

A: Given, the function                                f(x, y)=ln(x2+y2)

Q: Compute the derivative of

A:

Q: Find first derivative of each

A:

Q: In(X+ bnx) %3D

A:

Q: Then the derivative of

A:

Q: Solve using applications of the derivative

A: Given problem is :

Q: How do I find the following derivative?

A:

Q: Find the derivative using the definition of the equation.

A:

Q: In(x-

A:

Q: FIND THE FIRST DERIVATIVE

A:

Q: find the derivative of the function.

A: Given:      fx=cos25x+3+tan37x   differentiating on both sides     f'(x)=ddxcos25x+3+tan37x…

Q: Find the derivative of f(x) : %3D

A: We need to differentiate the function f(x)=1x with respect to x. We also know that ddxxn=nxn-1.

Q: Find the derivative of the tangent line 3x^2 +3x+3

A: We have to find the derivative of tangent line for the given curve: y=3x2+3x+3 We know,…