Find the derivative of the function using the definition of derivative f(t) = 6.5t2 + 7t

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

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Q: Using the definition of derivative, find functions: a) y = xVx -2 .2 (b) y =- (x-1)

A: Given ,f(x)=xx2-2Therefore,f(x+h)=(x+h)(x+h)2-2We know that…

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: 3. Find the derivative of g(z) = V9- using the definition of 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) =…

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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 alternative form of the derivative to find the derivative at x = c (if it exists). f(x) = x2…

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Q: Y = (cot x)3x² 3r2

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Q: Find the derivative using the definition. a. f(t) 2t+1 b. g(x) = 2x² +1

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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 of the function below using the definition of the derivative. f(æ) = /T– 2x

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Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

A: Given information:

Q: 2. y = 1 (tanh~' 2x)3

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Q: Find the second derivative of the function F(t) = 5tsin(r³).

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Q: Use the alternative form of the derivative to find the derivative atx = C, if f(x) C = 8 %3D x+4…

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

A: Given         f(t)=4t2-t

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

A: Given,           g( t ) = 23t2

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

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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: 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) = x3…

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

Q: Find the derivative of the function and then evaluate at the given point. y= 4x2 - 5x; (– 1,9) f'(x)…

A: The given function is y=4x2-5xThe point is (-1, 9)

Q: Find the derivative of the function. f(t) = arccsc(-3t2) 1 f'(t) = |-37|V94

A: Given,To find derivative of F(t) = arccsc(-3t2)

Q: Use the definition of the derivative to find the derivative of: f(t) = –14 – 9t.

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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: Use the alternative form of the derivative to find the derivative at x = c (if It exists). f(x) = x2…

A: Given f(x)=x2-2 c=5

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: Find the derivative of f(x)=axe^(-bx+10) Assume that a and b are constants. f′(x)=

A: If fx and gx are two differentiable function then according to product rule of the differentiation,…

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 the function. f(x) : et? + 9

A: This question is about finding derivative of function.

Q: Find the derivative of the function. 2 f(x) = 3F + 3cos x V X

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

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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: 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: f(t) = 4t – 5t2

A: f(t)=4t-5t2

Q: find the derivative of the following function x2y= (y+2) + xysin(x)

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Q: Find the derivative of the function. 8. 7t2 + t

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Q: Use the Quotient Rule to find the derivative of the function.                                f(t) =…

A: the quotient rule of the derivative states dydt=v.dudt-u.dvdtv2 here v=t3,u=cost we will derivate it…

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

A: Solution:-  The given function is  g(x)=x2-xwe have to use alternative form of derivative to find…

Q: zチー1 メニ」t

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

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Q: se the definition of the derivative to find the derivative of: f(t) = -4 – 2t. (t) =

A: Topic:- derivatives

Q: Use the rules of differentiation to find the derivative of the function f(t) = /6

A: Known fact: ddxkx=k.

Q: Find the derivative of the function f(x) = (4x? – a – 4)* at x = - 1. %3D f'(-1) = Pr

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Q: Find the derivative of the function q=14r-

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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.