1. (x2 + y2)3 = a*x2

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: Find the derivative of the function. F(t) = e4tsin(2t)

A: Find the derivative

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

A: We know that, the quotient rule is a method of finding the derivative of a function that is the…

Q: 4. Determine the derivative of the function with respect to x. 8sin?(x² + 2) y = 4tan²(x² + 2)

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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) =…

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Q: 2. Find the derivative of function y (y is a function of p). y = eP(p + PVp)

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Q: Use the Chain Rule to find the derivative of the following functions.

A: To find the derivative of y=1-ex4 using the chain rule. Solution: Chain rule of differentiation…

Q: 6. Determine the derivative of the following functions. Do not simplify. (a) y = 2t° +t+ e² 2 (b) y…

A: Given:           (a) y=2t5+t+e2Differentiating with respect to…

Q: 2. If u3 = a³t, find· d?u where a is a constant. dt2

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Q: Y = c 2.

A: The product rule of differentiation is given by the following expression:- ddx(uv)=udvdx+vdudx The…

Q: Evaluate the derivative of the following function.  ƒ1w2= w2 - tan-1w2

A: To determine:Derivative of function f(w)=w2-tan-1(w2)

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

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

A: ddxxn=n xn-1

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

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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

A: Given information:

Q: х3 — 7 4.) у %3 7 - х' ,3 X y' =

A: Given function, y=x3-77-x3

Q: Find the derivative of the function.

A: The given equation is y=-3t-24.

Q: 4 Find the derivative of the function y= f(x)= Jx(x-8). %3D

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Q: Find the derivative of the functions. a. y= e5x а. b. y= er-3 c. y= ecos x

A: NOTE : as per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: Find the derivative of the following function. y =2•5% y'%3D

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Q: Use the Chain Rule to find the derivative of the function. y = (x + Sx?)-1

A: Derivative of function

Q: Find the derivative of the function. (x² + 1)6*². 1 u(x) = u'(x) =

A: This question is related to differentiation solve in step 2.

Q: 2x+5 e. y = 3x-2 f. y = (2x? + 2)(x² + 3)

A: Derivative of the function y=f(x) is the measure of rate of change of y with respect to x.…

Q: Evaluate the derivative of the function at the given point. 1 y%3D 4t + 9 .t%3D2 (Type an integer or…

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Q: A. Find the derivative of the given function at a given number 1. y =3x -2 at f(1)

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Q: (a) Use the definition of the derivative to calculate the first derivative f'(x) for the function…

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Q: Use the Generalized Power Rule to find the derivative of the function. y = (1/w^7-1)^6

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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: Ax) = Vã Vx = /x хх e

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Q: Find the derivative of the function g(x)=x2∫0√1+t2dt.

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Q: 5. If f(x) = x², g(x) = and h(x) = √x² + 2x, determine the derivative of each composite function. a.…

A: Given: f(x)=x2,g(x)=1x′ and h(x)=x2+2x First find the composite functions and then differentiate

Q: Find the derivative of the function. G(z) = (1 – 3z)2V z? + 1 G'(z) =

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Q: 4) Find the following derivatives using derivative rules, not the definition. a) f(x) =x -3F+5

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Q: Find the derivative of the given function.   f(z)=−1/z^4.1

A: Recall the rule for differentiating powers when the exponent is a positive integer

Q: 4 Find the derivative of the function f(x) = %3D x +7 Provide your answer below: f'(x) =

A: Given query is to find the derivative of the function.

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

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Q: Find the derivative of f(x) = = axe-bx+13 Assume that a and b are constants. f' (x) = %3D

A: Given, f(x)=axe-bx+13 To find the derivative of above function.

Q: (а + 1)(а + 2) y = (а — 1) (а — 2)

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Q: I. Find the derivative of y with respect to x. Use the given relation in its implicit form. d?u 3.…

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Q: Find the derivative of the function. Q(x) = V e8x + x %3D Q'(x) = %3D

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Q: Q1/ Find the derivative of the following functions: where x>0,x #1 a- y = x** x√√2x+1 b- y = exsin…

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Q: Find the derivative of the following function. ° 4x y = In x y' =O %3D

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Q: Use this definition to compute the derivative of the function at the given value. h(x) = 5x² + 1 X =…

A: We have to find derivative

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

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Q: 7. Find the derivative of the function y = 5² + %3D y = eTextbook and Media Save for Later

A: Given that y=5x+7x3

Q: Evaluate the derivative of the function at the given point. 1 t = 3 8t + 1 y =

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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 hx=x+8, c=-8