Use the rule of differentiation to find the derivative of the given functions 1. y = (4x - 1)5

Q: find the derivative of the function  f(x) = e5x sec x

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Q: Use the rules of differentiation to find the derivative of the function. y = 20

A: Derivative of a constant is zero

Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

Q: Evaluate the derivative of the function at the given point. 1 y = 7t + 1 = - 1

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Q: Use the rules of differentiation to find the derivative of the function. y = sin(0) -11 2.2.025.

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Q: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

A: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

Q: Find the first and second derivative by using implicit differentiation  xy+8y2=4

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Q: Find the derivative of the following function 8x y = In 4x y'=

A: Since the given function is a ratio of two differentiable functions, we use the quotient rule.

Q: Find the derivative of y with respect to x if y = (11x2 - 22x+ 22) ex.

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Q: Find the derivative of the function y = sin '(- (5x + 4)).

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

Q: Find the derivative of the function. y = In(x8)

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Q: Use the rules of differentiation to find the derivative of the function. y = 1/x5

A: Consider the given function:

Q: Find the derivative of the function. y = sin-(9x + 1)

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Q: Find the derivative of the function. h(x) = x2 arctan(5x)

A: Given function: hx=x2tan-15x Differentiate the above function w.r.t "X" h'x=ddxx2tan-15x

Q: Find the derivative of the function. y3 (4x* - 7x +7)* dy dx (Type an expression using x as the…

A: It is given that y=4x4-7x2+74.

Q: Use the rules of differentiation to find the derivative of the function.

A: Our Aim is to find the derivative of the function given below:-y=12-(i)

Q: Use the rules of differentiation to find the derivative of the function.

A: Given: y=π2sin θ

Q: Find the nth-order derivative of the function y=(3x2−2x)lnx, x>0.

A: Use the product rule

Q: Find the derivative of the function. y = In(12x)

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Q: Find the derivative of the function.

A: Given that, f(x)=ln(x-1)   As we know, ddxln(x)=1x Chain Rule Of derivative, If…

Q: 4. Find the derivative of the following function 1 y = xtanx + -

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Q: Use the rules of differentiation to find the derivative of the function.

A: The given function is y=1x5

Q: Find the derivative of the function. y = tan(4x2 + 3)

A: The given function is y=tan4x2 + 3

Q: Use the first principles of derivatives to find the derivative of y=5x-1

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

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Q: Find the derivative of the function. y = 2 tan 5x

A: To find the derivative of: y=2tan5x Solution: y=2tan5x Differentiating both sides w.r.t x we get:…

Q: Find the derivative of the function. y = x/2 − sin 2x/4

A: Given function is y=x2-sin2x4 We have to find derivative of given function. Differentiating the…

Q: ■ Find the derivative of the function. Simplify wherepossible.  y =  ( tan -1 x ) 2

A: y=tan-1x2

Q: 1 f(y) = y² )(y + 5y³) y4,

A: let us simplify function firstf(y)=(1y2-1y4)(y+5y3)=(y2-1y4)(y+5y3)=y3+5y5-y-5y3y4=5y5-y-4y3y4it can…

Q: 3x g(x)=e* In(4x+1) (с)

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

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Q: Find the derivative of the function. y = -4 sin 7x

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Q: Use the rules of differentiation to find the derivative of the function. y = x12

A: The given function is y=x12 rule used: ddxxn=nxn-1

Q: Find the derivative of the functiony=tan^2(6x)

A: we have to find derivative of f(x)we will use following rules

Q: (x5-2x + 4) in

A: we have to find the derivative of the given function using different formula.…

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

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Q: Find the derivative of the function. Simplify wherepossible.

A: we have to find the derivative of the given function  y=xsin-1x+1-x2

Q: Find the second derivative of the function y = x In 2x.

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Q: Use the rules of differentiation to find the derivative of the function. h(x) = 6Vx + 3x

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

A: Given function

Q: Find the derivative of y with respect to x if y = (5x2 – 10x + 10) e - 6x y' =

A: We have to find the derivative of y with respect to x.

Q: Use the rules of differentiation to find the derivative of the function. h(x) = 4Vx + 3x h'(x) = %3!

A: h'(x)=ddx(h(x))h'(x)=ddx(4x+3x3)h'(x)=ddx(4x)+ddx(3x3) .....( 1)using power rule ddxxn=nxn-1and…

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

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Q: 8x+9 In(, x3 dx

A: Here we will sove derivative of given function,

Q: Find the derivative of the function using implicit differentiation.  1.) x³-3x²y+2xy²=12 2.) x²-y²…

A: This question is related to implicit differentiation, We will solve it using given information.

Q: Use the basic rules of differentiation discussed to find the derivative of the  function:  y= 7/x1/5…

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Q: -5

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

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Q: Use the rules of differentiation to find the derivative of the function. y = x7

A: Given: The function y=x7, To find: The derivative of given function.

Q: Find the derivative of the following:

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