f(x)= x f(x)= xZ

Q: Use the definition of the derivative equation (f(x+h)-f(x))/h) to find the derivative of (1/x).

A: The definition of derivative is given by,

Q: Find the derivative of the function by using the rules of differentiation. 1 f(x) = f'(x) =

A: topic - derivative of a function

Q: Find the derivative of f(x) at the designated value of x (Using Derivative Rules). 3 11. f(x) = x*,…

A: Topic:- calculus

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

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

Q: Find derivative using product or quotient rule

A: f'(x)=((x2)'(x+3)(4x-1)-x2((x+3)(4x-1))')/((x+3)(4x-1))2       (Using quotient rule)…

Q: アミx2 (-2x) ソ=x

A: topic - derivative

Q: Compute the derivative using derivative rules.

A: Explanation Given that,  y=(kx+b)-13   Differentiate with respect to x both the sides…

Q: Find the derivative of the function using the definition of derivative. 1 g(x) 8 + Vx g'(x) =

A:

Q: 7) f(x) = 3e In x %3D

A:

Q: Determine the derivative of f(x)=ln(x√x^2+1).

A:

Q: Find the derivative of the function:  f(x)=x^2lnx

A: consider the given function:

Q: Find the derivative f (x) = e3x+ x (csc x + sec x)² %3D

A: Using product rule of Differentiation we find the derivative of given function.

Q: f(x( = (x( sinx

A:

Q: Find the derivative of the function. f(x) = 2x In(x) f'(x) =

A: Let us consider the given function as: fx=2xlnx By using product Rule of derivative, we get:…

Q: find the derivative of f (x) at the designated value of x. f (x) = x3 at x = 12

A: The derivative of a function can be calculated by differentiating both sides of the function with…

Q: FInd the derivative using implicit differentiation rules x2+y2=x+y

A:

Q: Find the derivative of the function using the definition of derivative. f(x) = rx + q

A:

Q: find the derivative by using the definition of a derivativef(x)= the square root of x+1

A: We need to find the derivative using the first principles (without appealing to any standard…

Q: Find the derivative of the function using Chain Rule. (2x-6)-¹ (x²+3) h(x)=

A:

Q: Find the derivative of f(x) = xcosx. 7.

A: Find the derivative of the given function.

Q: Find the derivative of g(x) =

A:

Q: Find the derivative of f (x) = 1x , x = 0.

A: Given: f(x)=x at x=0

Q: Calculate the derivative using the appropriate rule or combination of rules. f(x) = (x + 4)(x + 2)(x…

A: The derivative of the given function is solved below.

Q: Use the definition of the derivative to find the derivative of, f(x)=6

A: topic - derivatives

Q: Compute the derivative using derivative rules  y = (x2 + 9x)- 2

A:

Q: Find the derivative of the function using the definition of derivative. f(x) = x4 f'(x) = %3D

A: To find the derivative of the given function using the definition of derivative.

Q: Find the derivative of the function g(x)=x3∫x2tdt.

A:

Q: Find the derivative of f(x

A:

Q: Find the derivative using the first principle  F(x)= (x-1)(x-2)

A: Given F(x)=(x-1)(x-2) To find the derivative using the first principle From the first principle, we…

Q: Find the derivative of the curve f(x) = 3x² - 6x + 1. Use the result to find the slope of the…

A: Follow the procedure given below.

Q: Find the derivative of f(x) = (x2-ex) tan x

A:

Q: Use definition of derivative to find derivative of the function f(x)=3/x+2, at x=-1

A: Given f(x)=3x+2    at x=-1To find f'(x) at x=-1

Q: find the derivative of the function using the techniques of differentiation:f(x)=x^2+3x+ ^3sqrt(x)

A: Given a function in x, f(x) as shown below. We need to differetiate f(x) with respect to x.

Q: Use the chain rule and product rule to find the derivative of f (x) = e" (sin(x)² + x).

A: Given Data: Function: ex(sin(x)2+x)   The chain rule of the derivative is, ddxfgx=fgxg'x ......1…

Q: Find the derivative of the function f(x) v4-x by definition

A:

Q: o f(x) = 4~/x+3

A: by using definition of a derivative.

Q: Find the derivative of f(x)=x2-3x. Use the result to find the slope of the tangent line to the curve…

A: Given: fx=x2-3x To Find: The derivative of the given function and the slope of the tangent line at…

Q: Find the derivative of the function using the definition of derivative. 1 f(x) V5 + x

A:

Q: Find the derivative of f(x)=sec(x)

A:

Q: Find the derivative of the function f by using the rules of differentiation. 4x2 + x 4 + f(x) f'(x)…

A:

Q: Find the derivative of the function f(x) = v4-x2 by definition

A: The given function is f(x)=4-x2 The definition of the derivative is given by: If a function f(x) is…

Q: 5+x f(x) = 3—х

A: Solve the following

Q: find the derivative that function  f(x)=xsinx

A: Given,          fx=xsinx

Q: Find the derivative. f(x) = 4cosx + √x

A: Given function is fx=4cosx+x. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

Q: Find the derivative of f(x)

A:

Q: Estimate the derivative of the function f (x) =: -3 at the point a = 3.

A: The function is given by fx=x3-3 differentiate the above function w.r.t "x" f'x=ddxx3-3…

Q: Find the derivative of f(x) at the designated value of x (Using Derivative Rules). 3 11. f(x) = x*,…

A: Given :   f(x)=x4 , at x=3/2 f(x)=1/4 , at x=2

Q: Find the derivative of the given function by using definition of derivative  f(x)= sec(x)

A: