y = 4x – 3x³

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

A: Differentiate each side with respect to xy'=ddxx3-11x2Apply the difference Rule…

Q: Find the derivative of the function by first expanding or simplifying the expression. 5x? f(x) =…

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

Q: Use the rules for derivatives to find the derivative of each function defined as follows. y = 3x2 +…

A: Given: y=3x2+2x+x-1+x-2 We know that ddxxn=nxn-1…

Q: Use the rules of differentiation to find the derivative of the function. y = 3/x7

A:

Q: Find the derivative of the function. y = 3ex - 6x

A: Given that  y=3e^x-6x To find the derivative of the function

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

A: Given: The function: g(x) = 6x + 3

Q: Use the rules of differentiation to find the derivative of the function y = 25

A:

Q: Use the rules of differentiation to find the derivative of the function.                    y = 2x3…

A:

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 = 4x3e−x y ' =

A: Given: -

Q: f(x)=Vx+2x 7x-4x2

A: Derivative is the rate of change in function with respect to variable in x.

Q: In the given question , use the rules of differentiation to find the derivative of the function?   y…

A: A function is a relation between an input variable and an output variable wherein each input…

Q: Use the rules of differentiation to find the derivative of the function.   h(x)=4√x+55√x

A: Given Data: Function: fx=4x+55x The power rule of the derivative is, ddxfxn=nfxn-1 ......1

Q: Use the rules of differentiation to find the derivative of the function.             g(x) = x2 + 4x3

A:

Q: Use the rules of differentiation to find the derivative of the function              g(s) = 3s5 −…

A:

Q: Use the rules of differentiation to find the derivative of the function. g(x) = 10x – 13 g'(x) =

A: Differentiate both sides with respect to x

Q: Find the derivative of the function. f(x) = 8x

A:

Q: In the given question , use the rules of differentiation to find the derivative of the function?   y…

A: The given function is y=1x5

Q: Use the rules of differentiation to find the derivative of the function f(t) = -6t2 + 3t - 4 f '(t):

A:

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

A: The given function is y=1x5

Q: Use implicit differentiation to find the derivative of the following equation:  x^2+xy=10

A: To find derivative using implicit differentiation we will differentiate both side with respect to x

Q: Use the product and/or quotient rule to find the derivative. f(x)=(3x+5)(2x−1) what would f'(x)…

A: Given that the function is

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: Use the rules of differentiation to find the derivative of the function             g(t) = 2/3t2

A: Given,           g( t ) = 23t2

Q: Find the derivative of the function y=32x3√x.

A: Given- y=32x3x To find- The derivative of the above function. Formula used- Using the product rule…

Q: take the derivative. бх —5 y = - x² +1

A: Consider the given function as y=6x-5x2+1

Q: In the given question , use the rules of differentiation to find the derivative of the function?   y…

A: To find the derivative: y=4x-3x3 Solution: y=4x-3x3 Differentiating both sides w.r.t x we get:…

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

A: The given function is y=7x4+2sin x.

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

A: Given function is fx=-9. Constant rule: ddxc=0

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 function y = (3x + 5)x

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

Q: Find the derivative of the function y=3x3.

A: we have to find the derivative of y=3x3

Q: Use the rules of differentiation to find the derivative of the function. y=9x². + 7 sin x

A:

Q: Find the derivative of the function y = −7x(8−2x)

A:

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

A:

Q: use the rules of differentiation to find fhe derivative. g(x) = 2x² - 3x +1

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

Q: Use the rules of differentiation to find the derivative of the function. y = 9x4 + 2 sin x y' =

A:

Q: Use the rules of differentiation to find the derivative of the function                    f(x) = x3…

A: Given: f(x)=x3-11x2

Q: Use the definition of the derivative to find the derivative of y = 3x^2 + 4x.

A:

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: 3 1 27. y= 2x2 +4.x² – 5 +4x² – 5

A:

Q: Use the rules of differentiation to find the derivative of the function.               y = 4x − 3x3

A: The given function is y=4x-3x3

Q: Find the derivative of the function y=x22−2x2.

A:

Q: Use the rules of differentiation to find the derivative of the function              f(x) = x1/2 −…

A:

Q: Use the rules of differentiation to find the derivative of the function             h(x) = 8/5x4

A: Given hx=85x4

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

A: Our Aim is to differentiate h(x)=6x + 3 x3 -(i)

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 function (5x? +sin2xj3/2

A: Given: The function is, y=35x2+sin2x32. The objective is to find the derivative of the function.

Q: Use the rules of differentiation to find the derivative of the function. f(x) = −9

A: Given, f(x) = −9   To evaluate f'(x)=?