2. f(x) = x2– 5x + 6 at x 2 --

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 function f(z) = (3x +1)In(4x+3) %3D and then evaluate it at x = 0. f' (0)…

A: Given : f(x)=(3x+1)ln(4x+3)

Q: Find the derivative of y with respect to x. 4. (x² - y²)² = 4ay²

A:

Q: Find the first derivative of y with respect to x (y') of the given function using rules for…

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Q: Evaluate the derivative of the function at the given point. 1 y = 7t + 1 = - 1

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Q: 2 a) For the function f(x) = X-3 , find f'(1) by using the definition of derivative.

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Q: Find the derivative of the following functions by applying “Delta Method". Show your complete…

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Q: Find the derivative of the function. f(x) = In(x + 1) f'(x) =

A: To find the derivative of the function fx=lnx+1

Q: find the derivative of f (x) at the designated value of x. f (x) = 1x at x = 1/16

A: Given: fx=1x To find the derivative  Differentiate the given function with respect to x we get,…

Q: find the function with the given derivative whosegraph passes through the point P. ƒ'(x) = 2x - 1,…

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: Product Rule of differentiation : d(u.v)dx = udvdx+dudxv. dxndx=n.xn-1

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

A:

Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: Find the derivative of y = (x - 1) 2× + 1 at x = 2.

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

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Q: Find the first derivative of the function g(x) = V5 +x +4cos (2x).

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

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

A: Given function is fx=x3+3x2+9. We know that, f'x=limx→cfx-fcx-c Given c=-3 Therefore,…

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 nth-order derivative of the function y=(3x2−2x)lnx, x>0.

A: Use the product rule

Q: Develop a general rule for the nth derivative of xf(x), where f is a differentiable function of x.

A: Given: the function xfx, where f is a differentiable function of x.

Q: *(x) = x² +x – 7 , find f'(a) at a = -2 by using the definition of derivative.

A: To find the f'(a) using definition of derivative

Q: Find the derivative of the function and then evaluate at the given point. y = 2x - 3x; (- 1,5) f'(x)…

A: f'(-1) = - 7  The detailed solution is as follows below:

Q: Find the derivative with respect to x of 1 f(x) V3x + 9

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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: find the derivative of the function f(t)=square root of 4t^2-t

A: Given         f(t)=4t2-t

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

A:

Q: find the derivative of f (x) at the designated value of x. f (x) = x + 11 at x = 0

A: To find the derivative of f(x)=x+11 at x=0 Solution: f(x)=x+11 Differentiating both sides w.r.t x we…

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

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Q: f(x) = x In x

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Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) = x3…

A: Given: fx=x3+2x2+1 , c=-2 To determine: Derivative of given function at x=c

Q: Find the anti-derivative of the function and evaluate. g(x)=2x g(0)=7

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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: Compute for the derivative of the function below for x = 1. f(x) = 2xe

A: Solution: dydxx=1=2xex

Q: find the derivative of the given function F(x)=  x+1/x-1

A: The given function

Q: Find the derivative of the following using the three-step rule Зх-1 1. у3 2x +5 2. y=Va² +x?

A: Using three step rule.

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

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Q: 19.What is the derivative with respect to a of f(x) = 4-32 3z+2 4x-3

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Q: Find the first derivative of with respect to x using the increment method y=3x^2-7x+12

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Q: Approximate the derivative of f(x)-x3+4x2-10x+5=0 at x=3 using the forward, backward and central…

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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: 1. Find the derivative of the following f) y = (2x − 1) ( x³ − x) + √x[2(x³ − x) + (2x − 1)(3x² −…

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: find out the derivative of the function.

Q: Find the derivative of the function. G(x) = V1 - 9x² arccos(3x) G'(x) -

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Q: Find the derivative with respect to x: y = x3- 3*

A: The given function is: y=x3.3xWe need to find the derivative of y with respect x.Recall the…

Q: Find the function with the derivative f'(x) 3x = e whose graph passes through the point P| 0,

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Q: Find the derivative of the function. G(x) = V1- 9x2 · arccos(3x) G'(x) =

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Q: Find the derivative of the function. f(x)=4tan-1(e9x)

A: Consider the given equation

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

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Q: Find the derivative of the function g(x) et 2 + 3x g'(x) =

A: Given: gx=ex2+3x

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

A: