Find the derivative y using limit  definition y=6x^2 +4x

Q: Compute the derivative using derivative rules that have been introduced so far y = (4 - 2x - 3x 2) 5

A: Given: y=4-2x-3x25  ……1

Q: use the limit definition of a derivative to find f'(x) f(x)= sqrtx+5

A: See the details solution in below

Q: Find the derivative of by the limit process

A: fx = 342-x

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

A:

Q: 5. Use the limit definition of derivative to find f'(x) if f(x) = VT.

A:

Q: Use the Limit Definition of the derivative to EXACTLY evaluate the derivative. f(x) = 3/x

A: The solution of the problem is given in the next step.

Q: Find the derivative of f(x) = x2 using the limit definition of derivative.

A: We have given function  f(x)= x2 So using definition of derivative  f'(x) = limh→0fx+h-fxh So,…

Q: Use the limit definition of derivative to find the derivative of the function with respect to x.…

A:

Q: Describe the First Derivative Theorem for Local Extreme Values?

A: Describe the First Derivative Theorem for Local Extreme Values?

Q: Compute the derivative using derivative rules that have been introduced so far y = √(9 +x + sinx)

A: We have to compute derivative of the function: y=9+x+sin x We know the formula of derivatives,…

Q: Use the limit definition of the derivative to find the equation of the line tangent to f(x) = (x –…

A: Given, f(x)=(x-3)-2 f(x)=1(x-3)2

Q: Find the derivative using the appropriate rule or combination of rules. y = tan3 x + tan(x3)

A:

Q: find the derivative using implicit differentation

A: Apply derivative on both sides

Q: find the derivative using the appropriate rule or combination of rules. y = tan3 x + tan(x3)

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

Q: y=9 arctan (x+sqrt(1+x^2) )

A: ddx(xn)=nxn-1 ddxx =12x ddxtan-1(x)=1x2+1 Chain Rule: if f=f(u) where u is a function of x then…

Q: Compute the derivative using derivative rules that have been introduced so far y = cos4 θ

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: 3. y= 1 at point (0, -) X-3

A: To find, equation of tangent line at the given point.

Q: Find the derivative of f(x)=8x - 5x+2 using first principles (i.e., use the definition of the…

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Q: Use the limit definition of the derivative to find the derivative of f(x)=x^2+x

A: Please refer the attached image for complete solution.

Q: Find the derivative of the function f(x)=2x2 using the limit definition.

A: Limit definition of derivative of f(x) is  f'(x)=limh->0f(x+h)-f(x)h

Q: Compute the derivative using derivative rules that have been introduced so far. y = (8x4 + 5)3

A:

Q: Find the derivative of y=fG)= Jx3 + x2 * Do not use product quotient rule. or

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Q: find the derivative of the function the limit process. by flx) %3D

A: Given f(x)=1x2We know that derivative of f(x) with respect to x is defined…

Q: Compute derivative of function using limit definiton

A:

Q: Compute the derivative using derivative rules that have been introduced so far       y = √(7x - 3)

A: To find the derivative: y=(7x-3) Solution: y=(7x-3) Differentiating both sides w.r.t x we get:…

Q: state the limit definition of the derivative

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Q: Find y' if y = 5x + 2 using the limit definition of derivative.

A: Given that  y=5x+2

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 2x² +…

A: We will find the instantaneous rate of change of f(x) at x=4 as following.

Q: find the derivative of the function f(x)=x^2 -2x using the definition of the derivative (a process…

A: Explanation of the answer is as follows

Q: Find the derivative at the given x-value with the appropriate rule. y=4-18sqrt x at x=4

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Q: State the limit definition of the derivative.

A: derivative can be defined as below:-

Q: 9. y = 3x – Vx

A:

Q: use the limit definition of a derivative to find the slope of the tangent line of the function…

A: Recall the limit definition to find the slope of the tangent line of the graph.

Q: find the derivative by evaluating that limit , how do you simplify that limit to get the derivative?

A: We have to find the limit which is limit definition of derivative of f(t)=t^2-sqrt(t).Limit is given…

Q: Find derivative using product or quotient rule

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Q: -3 at the point (9,-1) using only the limit 3. Find the exact equation of the tangent line to the…

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Q: Find the derivative and simplify: f(x)=ex-cotx

A: To determine the derivative.

Q: Find the derivative by the limit process

A:

Q: Use LONG METHOD DERIVATIVES to find the slope of the tangent line to the curve: f (x) = V7x at point…

A:

Q: Find limit   without using derivative

A: Given,

Q: fox)= x+ ?

A:

Q: Find the derivative..thefallowing.vecten. Fumctens. a.. -1 ..... ...

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Q: Find the derivative by the limit process. F(x) = 13 -

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Q: Differentiate the functions showing the general process in determining the derivatives. Using the…

A: We need to differentiate given function.

Q: 12) Yex)=

A: The given function f(x)=6x

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) 7x² + 2x…

A:

Q: What is the definition of the derivative (Difference Quotient)?

A: 2. What is the definition of the derivative(difference quotient)? ans. In single-variable calculus,…

Q: Describe how to find the derivative of a function using the limit process.

A: To Describe the Limit Process for finding the derivative of a function.

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: