y = &r - 5x2 - 12

Q: Find the derivative of the following function 8. y=(x+3)(2x² – 3x + 1)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the derivative of function defined as follows. h(x) = x-1/2 - 14x-3/2

A: Given:          h(x)=x−12−14x−32

Q: Find derivatives of the functions defined as follows: y = -3e3x2+5

A: Given:y=-3e3x2+5

Q: x3+ 4x2-9x-36 3. у %3 4x2+28x+48

A: Solution:

Q: Find the derivative of the function G(x) 1 + 2x3 – x2 + 5.3x + /10.

A: GIVEN:   G(x) = 12x4 + 2x3 - x2 + 5.3x + 10

Q: Find the derivative of function defined as follows.

A: Find the derivative of the function.    y=x3-x216+4x+9

Q: Find the derivative of the function by using the definition of the derivative. f(x) = /(x³ + 5x)…

A:

Q: Find the derivative of the function, f (x)=(3x-2)° (2x+5)

A:

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: find the derivative of the function g(x)=5x^-3+ 6x^-6

A:

Q: Find the derivative of function defined as follows. k(x) = -9(5x2+ 3)-6

A:

Q: Find the derivative of the function by using the Quotient Rule. Simplify your answer. x2. - 4x + 3…

A:

Q: Use the definition of the derivative to find the derivative of the following. y = 4x2 + 3x - 2

A: Solution:y = 4x2 + 3x - 2To find the Derivative By Using the Definition of…

Q: Find the derivative of the function. h(x) = (4x3 + 2x + 5)/x

A: Given that h(x)=4x3+2x+5x

Q: Use the rules for derivatives to find the derivative of function defined as follows. y = 4x2(3x -…

A: We have to find derivatives of the function: y=4x23x-25 We know the formula of derivatives,…

Q: Find the derivative of the function. y = 3√(6x2 + 1)

A: y=36x2+1

Q: Find the derivative of the function. q=5√x³+3x q' =

A:

Q: Find the derivative of function defined as follows. y = 5x4 + 9x3 + 12x2 - 7x

A: Given function is y=5x4+9x3+12x2-7x. To find the derivative of the given function. Solution: Power…

Q: Find derivatives of the functions defined as follows: y = 3 . 4x2+2

A:

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: Find the derivative of the function described. (Rx5) 4х-2 5. у 3 3x+4

A:

Q: Find the derivative of function defined as follows. p(x) = -10x-1/2 + 8x-3/2

A: we have to find the derivative of the function defined as  P(x)=-10x-12+8x-32

Q: Find the derivative of function defined as follows. y = 6x2 - 10x - 3x-2

A: For a function f its derivative is denoted by f'(x). The definition of f'(x) is limh→0f(x+h)-f(x)h.…

Q: Find the derivative of function defined as follows. y = 5x-5 - 6x-2 + 13x-1

A: Given function is: y=5x-5-6x-2+13x-1 We have to find dydx. We will use the following formula for…

Q: Use the rules for derivatives to find the derivative of function defined as follows. y = -4x-3

A: Given: y=-4x-3

Q: Find the derivative of each function defined as follows y = 12x3 - 8x2 + 7x + 5

A: Given: y=12x3-8x2+7x+5 For finding derivative of given expression, we differentiate given expression…

Q: 1+x y = 3-x2 ||

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

Q: Find the derivative of the following function. f(x) = 5x/5x+4

A: It is derivative problem.

Q: Find the derivative of the function. y = (7x + 3)4

A: We have to find the derivative of the function: y=7x+34 We know the following formula of…

Q: Find the derivative of the function. f(x)= (x2+6/x)5

A:

Q: Use the definition of the derivative to find the derivative of the following y = x3 + 6x + 3

A: Given function: y=x3+6x+3 We know that the definition of derivative f'x=limh→0 fx+h-fxh Substitute…

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

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

Q: Find the derivative of each function defined as follows y = 8x3 - 5x2 - x/12

A:

Q: Find the derivative of the function y=3√2x2.

A:

Q: Find the derivative of the function y=(2x+5)^4(3x+1)^-5

A: The given function is y=(2x+5)4(3x+1)-5. The negative property of exponent isa-x is 1ax. The…

Q: Find the derivative of the function y=(4x+1)^5(3x+1)^-4

A: We can find the derivative as below.

Q: Find the derivative of the following function. f(x) = 8x° + 7x

A:

Q: Find the derivative of the function y=5x3+3−2x3+3√x5.

A: To Find: Derivative of function   y=5x3+3-2x3+3x5.

Q: Find the derivative of the function y=3x2−2√x+1.

A: y=3x2-2x+1Differentiate with respect to xdydx=ddx(-2x+1+3x2)

Q: find the derivative of  y = x^2 - 4/x^2

A:

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

A:

Q: Find the derivative of the function below: y = In(x7 + 5)

A: Given,           y=9xlnx7+5

Q: Find the derivative of the function. 5 + 6x - 4/x y% =

A:

Q: Find the derivative of the function. g(x) = ((7x^2-4)/(4x+7)^-2

A: We have to find the derivative

Q: Find the derivative of the function.h(x) =9x9−7x7+ 8x

A: we will find derivative of f(x)we will use power rule

Q: Find the derivative of the function  y=[x2 + (1  -3 x)5]3

A:

Q: Find the derivative of the function y = 5x* - 15x - X.

A:

Q: Calculate the derivative of the following functions. y = (2x6 - 3x3 + 3)5

A: Let y=f(g(x)), by chain rule for differentiation, we have dydx=dfdg·dgdx

Q: Find the derivative of the function. g(x)=(4x5+1)4

A: We have gx=4x5+14Using power ruleddxxn=nxn−1