Using the definition of the derivative, differentiate the function f(x)=x2+2x−2.

Q: By using the definition of derivative find the derivative of f(x)=x^2

A:

Q: Find the derivative of the function using the definition of derivative. f(x) - mx +b f'(x) = State…

A:

Q: Calculate the derivative of the function. f(x) =    7x + x2

A:

Q: Finding the derivative of f(x) = 2x2+3x+2, using definition of derivative

A:

Q: Find the derivative of the function using the definition of derivative. f(x) = x + Vx + 9 f'(x) =…

A:

Q: Using either limit definition of a derivative at a point, determine the equation of the tangent line…

A:

Q: Use the Quotient Rule to find the derivative of the function. h(x) = x2 x + 7 h'(x) =

A: Using , quotient rule of derivatives

Q: Using the definition of derivative, find the derivative of f(x) = x² + 3x + 3.

A: Solution:

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of…

A: Differentiate the function with respect to x using the chain rule to find f'(x). According to the…

Q: Find the derivative of the function using the definition of derivative. f(x) = 8x4 f'(x) = State the…

A: Given f(x)=8x4 Use the definition of derivative to find f'(x) and it's domain.

Q: Using the First Principle of the differentiation, determine the derivative of f(x) = 2x' – 3x² – 36x…

A:

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: Which defines as the process of finding the derivative of a function? *

A: Here, to tell which defines as the process of finding the derivative of a function.

Q: Find the derivative of the function using the definition of derivative. f(x) = 3 + 6x – 7x² f'(x) =…

A:

Q: Find the derivative of the function by using the definition. Then determine the values for which the…

A: Find the derivative of the given function

Q: the derivative of: F(x) = (100x5)/ex

A:

Q: (a) f(x) =x² – 2r

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: The function is F(x)= 2/x2 And the point is (1, 2)

Q: Derivative of f(x)= 4x/5x^2-1

A: We can find the derivative as below.

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given: f(x)=5 x3-2-1 To determine: Slope of the given function at point -2, -12

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Consider a function fx. The slope of the function is defined as the change in the value of the…

Q: Find the derivative of f(x) = -5x-6. Do not include "f'(x) = " in your answer. For example, if your…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Using the definition of derivative, prove that the derivative of a constant is 0.

A: Let the constant function be f(x)=k By definition of derivative f'(x)=limh→0f(x+h)-f(x)h

Q: Find the derivative of the function using the definition of derivative. 1 f(x) = x2 - 16 f'(x) =…

A:

Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A: Given function is fx=1x+4. Compute the first derivative. f'x=1x+4'=-12x+432

Q: Calculate the derivative in two ways. First use the Product or Quotient Rule; then rewrite the…

A:

Q: Find the derivative of the function using the definition of derivative. f(x) = 3 + 6x – 8x² f'(x) =…

A: Given, f(x)=3+6x-8x2 Domain of f(x)=(-∞,∞)

Q: Find the derivative f(x) = x2 + 7x / secx

A:

Q: Find the derivative of the function using the definition of derivative. g(x) =    5 − x

A:

Q: Using the definition, caleuhate the derivative of the following function. f (x) = 4-x²

A: Derivative: A function is said to be derivable or differentiable if lim∆x→0fx+∆x-fx∆x exists and…

Q: Use the Quotient Rule to find the derivative of the function. h(x) = x2 x + 2 h'(x) =

A: The solution is:

Q: Find the derivative of the function. f(x) = 8x3 − 4x2 + x   f'(x)=

A:

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A:

Q: Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Topic = Derivative

Q: Using the chain rule, derive the formula for the derivative of the inverse sine function.

A:

Q: Find any relative extrema of the function f (x) = x³ - 3x². Then, sketch a graph of the function.…

A: Let f(x)= x3-3x2. We need to find the extrema of the function by using first derivative test and…

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A:

Q: Using the definition of derivative, find f' (x) for the function Let f(x) = x-3'

A:

Q: Find the absolute extrema of the function f(x) = - x* + 50x2 - 625 on the interval [- 6,6]. Find the…

A:

Q: Calculate the derivative of the function.  f(x) = (x6 − x)6

A: Applying derivative we have

Q: Explain how to find the derivative of the function f(x) = cxn .

A: we have to explain how to find the derivative of the given function f(x)=cxn

Q: Help finding the derivative.   y=(x^-2+x)^-3

A:

Q: olve for the derivative of the function using chain rule.  2. f(x)=4√ -3x4-2

A: 2)

Q: Find the derivative of the function using the definition of derivative. f(x) = x3 – 7x + 7 f'(x) =…

A:

Q: Find the derivative of the function using the definition of a derivative. State the domain of the…

A: Plug f(x) and f(x+h) in the definition of derivative.Express them as difference of cubesApply…