5+x f(x) = 3—х

Q: Find the derivative of f(x) = 2x/√x+1 if f'(2)

A: Given: fx=2xx+1 Formula Used: fg'=g.f'-f.g'g2

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 definition 1 1- f(x) = 2x +3

A: Given f(x) = 12x+3 Consider f'(x) = limh→0f(x+h)-f(x)h= limh→012(x+h)+3-12x+3h=…

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

A:

Q: Find the derivative of the function. f(x) = (9x2 – x) In(x) f'(x) =

A:

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: Calculate the derivative of f(x)=4x³ with respect to x and evaluate this derivative at x=2.

A:

Q: Find the derivative of the function. 5 F(x) 1 + 4x + x3 F'(x) :

A:

Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

A:

Q: 9. Use the definition of derivative to find the derivative of f(x) = x² – 3x.

A: We need to evaluate the derivative of the function f(x) using definition of the following function…

Q: Determine the derivative of f(x) =2x/x2+1 using the quotient rule and find the equation of the…

A:

Q: Find the derivative of F(x) = 1 / (3x+1) directly from the definition of the derivative:

A: Here the question itself need to use definition of derivative to find out the derivative of given…

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

A:

Q: Find the derivative of f(x)= √8-x

A: We can solve using chain rule of derivative in order to solve the given problem.

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

A:

Q: 2. Find the derivative of f'(x) if ƒ(x) = x*+3x-V x2+x

A:

Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: Find the derivative of the function x +5 g(x) = 2, X +6x

A: Given function is, g(x)=x2+5x2+6x  Quotient rule of derivatives is, If f(x) and k(x) are functions…

Q: 3. Find the derivative of f (x) = 2x²e² tan x.

A:

Q: Find the derivative using the Four-step rule f(x)=x/1-x

A:

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

A:

Q: Find the derivative of the function using the definition of derivative. 1 f(x) x² - 36

A:

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

A:

Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Find the derivative of f(x) = 6* – 3* + In x -

A: Differentiate: fx=6x-3x+lnx

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 f(x) = (x2-ex) tan x

A:

Q: Find the derivative of f (x) = -4 tan (x).

A:

Q: find the derivative of the function f(x)=x^3+2x at -3

A: find the derivative of the function f(x)

Q: If f(x) = x³ + find f"(-1).

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Find the first derivative of f (x) = 2* 2*

A:

Q: Find the derivative of the function. g(x) = 9 + In(x)

A: We have to find the derivative of : g(x)=ex29+ln(x)

Q: Find the derivative of the function ° (2x + 1) f(x) = In x2 – 3 -

A:

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

A: by using definition of a derivative.

Q: Help to find the derivative of f(x)=1/3x.

A: The given function is fx=13x

Q: Q1. Find the derivative of f(x) = 2x² -- by using the definition of derivative.

A:

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

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

A:

Q: Find the equation of the line tangent to the graph of the function f(x)=x-2x^2 at x=1 use the…

A: The equation of the curve is: f(x)=x-2x2

Q: 14. Find the derivative of the function using the definition of derivative. f (x) = V1 – x

A: Derivatives

Q: Find the derivative of the following function by definition (from first principle): 1-x f(x) =. 2x

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Q: Find derivative of: g(x) = sin(x-3x2)

A: Given query is to find the derivative of g(x).

Q: Find the derivative of the following function by definition (from first principle): f(X)=1-x/2x

A:

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)=5-x/2sin2x

A: Consider the given function.

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

A: