f(t) = 4t – 5t2

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: Find the derivative of the functionf(x) = Vx – 2. Provide your answer below: f'(x) =O

A: We have to find derivative

Q: calculate the derivative with respect to x. y−2/3 + x3/2 = 1

A: Given: y-23+x32=1 Taking logarithm on both sides of the given equation, logy-23+logx32=log1…

Q: Find the derivative of the function f(x) = V(a3 + 7x) by using the definition %3D of the derivative.

A: Let's find.

Q: Find the derivative of the function. f(x) = In(x + V7 + x²) f '(x) =

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Q: Y = V(2x + 1)2 yiv %3D

A: Here given as y=2x+123 Differentiate with respect to x…

Q: Use the alternative form of the derivative to find the derivative at x=c ( if it exists). f(x) =…

A:

Q: Find the derivative of the function. A y = 7tan-(x - V1 + x²) %3D (2* * I^ -

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Q: Use the Quotient Rule to calculate the derivative.

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Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) = ∣x…

A: Concept: Derivative is the amount by which function is changing at one point. Given:

Q: Use the product rule to find the derivative of the following.

A: Calculate the derivative of the given expression using product rule d(u·v)dx=v·d(u)dx+u·d(v)dx…

Q: Find the derivative of the function 3 f(x) = V (x² – 2)' at x = -1. f'(- 1) =

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Q: Use the rules for derivatives to find the derivative of function defined as follows.

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: Given that f(x)=x2-9 , c=8 find the derivative at x=c by using alternate form of derivative

Q: Find the derivative. y = In(t5t)

A: Consider the given equation y=lnt5t and simplify it. Use the logarithmic properties to simplify it.…

Q: Find the derivative of the function. G(x) = V1 – 289x2 arccos(17x) G'(x) %3D

A: We are authorized to solve only 1 question please repost remaining questions Derivative of function

Q: Find f'(10) directly from the definition of the derivative given f(x) = vx – 1.

A: Given, f(x) =x-1  We have to find f'(10)

Q: Find the derivative of the function. f(z) -2z +3z +1 f (z) =

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Q: Find the derivative of f(x) = x² cos r.

A: The given function fx=x2cosx Differentiate with respect to x using the product rule…

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. g(x) = 2x2…

A: Given function is gx=2x2-3x. We know that, f'x=limx→cfx-fcx-c Using the above formula of derivative,…

Q: Evaluate the derivative at x = 1 for y = I (

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

Q: Find the derivative of the function f(x) = x2 - 5x + 3 at the numbers (a) 2 and (b) a. %3D

A: a. From the definition we have the following, Simplify further,

Q: Use the rules of differentiation to find the derivative of the function             g(t) = 2/3t2

A: Given,           g( t ) = 23t2

Q: Find the derivative of the function. y = 2e* +x2

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Q: Find the derivative of function defined as follows.

A: Derivative of the function can be found with the help of differentiation of the function.…

Q: Find the derivative of a linear function y=ax+b using the definition of derivative.

A: The derivative of a function f' of function f is defined as f'x=limh→0fx+h-fhh

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists .

A: The derivative of a function fx at x=c is determined using the following alternative form of the…

Q: Use the quotient rule to find the derivative of the function. X +4 y = X- 9 dy dx

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Q: Find the derivative of the function by using the rules of differentiation. f(t) = 7t2 + √t

A: Rules of Differentiation that are used in the given problem.

Q: B. By using the definition of the derivative, find the for: dx 1- f(x) = V %3D 2- f(x) = x -!

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Q: take the derivative. f(x) = 4cos x + Vx %3D

A: Consider the function: fx=4cos x+x. Take the derivative applying ax+bx'=a'x+b'x. Therefore, f'x=4cos…

Q: Find the derivative of the function y=(x−1)(x−2)(x−3) at x=0.

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Q: find the derivative using the definition ƒ(t) = 1/2t + 1

A: Given:ft=12t+1Derivative definition:f'x=limh→0fx+h-fxh

Q: Find the derivative of by using the product rule. * y = (1+ væ³) (x-3 – 2x)

A: To find the derivative of y=1+x3x-3-2x3 using product rule. Solution: Product rule of derivative…

Q: Using the definition, find the derivative of fz) = 3 z^-6 z² at point z= 0

A: Given,          fz=3z4-6z2

Q: Use the Chain rule with other differentiation rules to find the derivative of the following…

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Q: Find the derivative using the long method 3 u = t2

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Q: (x²+7) Yキ 7. フーX

A: We use first derivative devide rule and differentiate of y . Here i provide full solution of this…

Q: Find the derivative of the function f(x) = V (x² – 2)* at x = 1.

A: Given f(x)=(x2-2)23      ⇒f(x)=x2-2213⇒f(x)=x2-223

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) = (x…

A: Given function is fx=x-623. To find the derivaitve of the function at x=c. Differentiating with…

Q: Consider the function f(z) = V1+z -1 and find its derivative:

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Q: Find the derivative of the function. y = x*V25 - x²

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Q: Find the derivative of the function.

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Q: zチー1 メニ」t

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Q: 3. y = Vx*

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Q: Find the derivative.

A: Given,

Q: Find the derivative of the function by using the rules of differentiation. f(t) = 3t2 + / f'(t) =

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Q: Use the definition of the derivative to find df/dx. f(x) = x/(1-3x)

A: Given, function

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) =…

A: The alternate form refers here the definition of derivative.

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: