5. Find the derivative of f(x) = 4(8x + 3)5.

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A:

Q: Find the first and second derivatives of the function. (Simplify your answer completely. f(x) = 10x…

A: differentiate it with repsect to x to get the result

Q: 7. Find the derivative of f(x) = 8 Vx3 + 5x + 4.

A:

Q: Find the derivative of f(x) = 8 Vx3 + 5x + 4.

A: Our Aim is to find the derivative of fx=8x3+5x+4

Q: Please solve this question using application of derivatives!!   A conical tank is designed so that…

A: the volume of the conical tank is given by the formula, V=13πr2h where r is the radius of the cone…

Q: 6. Find the second derivative of x³ – 5x2 + x = 0

A: Given: x3-5x2+x=0

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A: We use second derivative test to find dimensions where surface Area minimum

Q: A box with a square base and open top must have a volume of 500 cm. We wish to find the dimensions…

A: The solution are next step

Q: Complete detailed solution. What is the derivative of 6 f(x)=(√2-1)(3√x+1)

A:

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A: We need to establish a relationship between the derivative of a constant and the slope of the…

Q: 32) Sx+4X+ orerd

A: Find your answer below

Q: Find the derivative of the function. (Simplify your answer completely.) 4 h(x) = 2x2 + = (x), 4

A:

Q: A box with a square base and open top must have a volume of 32000 cm³. We wish to find the…

A: Given that box has square box. side of square base is x.

Q: Find the derivative of the function. f(x) = = In x+ 5 x + 10 f'(x) = 2x(x+ 5)

A: If f(x) and g(x) be any two functions d/dx(f(x)/g(x))=[f'(x)g(x)-f(x)g'(x)]/(g(x))^2

Q: Complete detailed solution. What is the derivative of 3 f(x)=4x² + -5 √√x

A:

Q: 3. Find the equation of tangent line of the function f(x) = at the point %3D (6, 4).

A: f(x)=8x-2, at (6,4)Conceptpoint slope form is y-y1=m(x-x1)m is f'(x) at the given point

Q: 24. f(x) = x + Vx

A:

Q: 5. Using quotient rule, find derivatives for the following functions. &r +1 a. y = 2x? +3 4x? +1 b.…

A: Find the derivative

Q: x2 f (x) %3 хе [-1,4] 8

A:

Q: Complete detailed solution. What is the derivative of 1 1(x) = (2+²+ -x)(-+1+√x²) x+1

A: To determine the derivative of fx=12x-2-x-1+x4x+1

Q: A box with a square base and open top must have a volume of 256 cm. We wish to find the dimensions…

A: Let the edge length of square base be equal to x cm. Let the height of box be denoted as y cm. The…

Q: Step by step guide. Thank you very much!   Find the second derivative. f(x) = 5e−x − 6e−5x

A: By differentiating f(x) and by using the result that derivative of e^(ax) is ae^x, we get f\'(x).

Q: 6. Find the 107th derivative of y = 32x+1.

A: Given: The function y=32x+1, To evaluate: The 107th derivative if given function.

Q: Find the derivative of the function. 6x3 + 8x2 f(x) = Step 1 The function f(x) can be simplified to…

A: The power rule of differentiation states that d dxxp=pxp-1, where p is any real number. Given:…

Q: Find the derivative of the function f(x) x* using the definition of the derivative. No credit will…

A: Given f(x)=x3

Q: Use the definition of the derivative to find the slope of the tangent line to the graph of the given…

A: Given:- f(x) = 4x2+7x To find:- Use definition of derivative to find slope of tangent line

Q: Find the derivative of f (x) = (4x + 1)(5x² + x/x ). Upload your work in the next question. The…

A:

Q: Find the derivative of the function. (Simplify your answer completely.) f(x) = (13 – 2x)(7 – 2x)x…

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Q: Find the derivative of the function. f(x) = Vī – 8VF f (x) = | 12r – 83x23

A:

Q: 4. Find the derivative of f(x) =x³ – x² +3

A:

Q: Find the derivative of the function. (Factor your answer completely.) f(x) = (7 – e-2x)8 f'(x) = %3!

A:

Q: he fの= X+ 3X-2 %3D し fox)= メ fの=(2x55 k fes- /xキ

A:

Q: Write an equation of the tangent line to the curve f (x) = 3/ Va + 8x at the point (4, f (4)). %3D…

A:

Q: r*y" + 31?y" =1+r

A: Consider the provided D.E,

Q: Let f(x) = x³ + 3x + 3. Find the derivative of f-'(x) at x = 3.

A:

Q: Find the derivative of f (x) = 4(8x + 3)5.

A:

Q: Find the derivative of the function. 4r y'(x) = Need Help? Read It

A:

Q: 1. What is the second derivative of y = 5x^3+2x+1?

A: Given function, y=5x3+2x+1

Q: x²+5 Find the derivative g(x) x²+6x

A: Using Quotient Rule.

Q: S(2) = 10F -V + 6VF _ 3 8. g(y)=(y-4)(2y+y²) V* + 2x 9. f(x) = 7x-4x2

A:

Q: Can you please help me answer this.   * The derivative of the function f(x) = (√6x+3) is: * The…

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Q: Find the derivative of the function. PLEASE HELP ME ANSWER WITH SOLUTIONS    SOL 6,7

A:

Q: Find the derivative of f(x) = 2Vx + v2x

A:

Q: how do i find the derivative of the function ?

A: Given function is,

Q: f (x) = V x +3|

A: Given: fx=x+3   Use the first-principles method to calculate the derivative. f'x=limh→0fx+h-fxh

Q: uppose x and y are variables (y is a function of x) that satisfy the equation *-y'=12, What is…

A:

Q: A box with a square base and open top must have a volume of 108 cm. We wish to find the dimensions…

A: Suppose we have cuboid box with l , b and h are length , breadth and height respectively .Then note…

Q: Question: Find the derivative. 1+ vi

A:

Q: f(x) = 2 Lim f(x+x) - fox) AX f'(x)= 4x40 Lim AXO Lim (x+4x)² - + (x+AX)^2-x²² AX AX x= x + 2x (0x)"…

A: