COMP MPILE CONLEDA COMPID AN OMPILE ANDE PILED A EDI EDAND EDITELD y~4 %3D 11 +: Зу AND EDITED B DEDITED BY JO DITED BY TED

Q: Calculate the derivative indicated.

A: Our Aim is to calculate the derivative of the expression given below:-p=7eh-2 -(i) at h=4.

Q: Find the derivative of the function. y = sec 2 ( m b)

A: We need to find the derivative of the given function.

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

A: The derivative gives the rate of change of a function. It gives the slope of the function at a point…

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

A: Given that: The function is r(t) = 5t2 - 7t3t+13 .

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

A: Given function is, st=t3-2t4t-34. It is differentiated by apply the quotient rule, fg'=f'g-fg'g2.…

Q: Find the derivative of the function f(y), below. It may be to your advantage to simplify first. f(y)…

A: We first simplify then do differentiation

Q: At the given point, find the equation of the line that is tangent to the curve, as requested. x*y =…

A:

Q: Find the derivative of the function. Vs-3 f(s) = Vs +7 Choose the correct answer below. O A. V5…

A:

Q: Compare the right-hand and left-hand derivatives to determine whether or not the function is…

A: Follow the procedure given below.

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

A: Given: y = x+3x27 To find: Derivative of the given function.

Q: Calculate the derivative.

A: Use the power rule and sum of derivative:

Q: Iculate the derivative indicated. d'y 1 + 322 where y = da2 \1 7 23 nswer:

A: d/dx(x^n) = x^(n+1)/(n+1)

Q: Find the derivative of the given function. y = 4t³ – 4t² %3D %3D

A:

Q: Find the derivative of the function. z(=) = v + 5 7

A: d/dx (xn ) = n.x(n-1)

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

A:

Q: Calculate the derivative indicated in the figure below

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Q: Use implicit differentiation to find an equation of thetangent line to the curve at the given point.

A: We differentiate both sides with respect to x, then plug x=0 and y=-2, then solve for dy/dx

Q: Find the derivatives of the functions y = 5 cot x2

A: Given: y=5cot x2Differentiation formula:ddxcotx=-cosec2xddxxn=n .xn-1

Q: Which of the following is the derivative of the given function in simplified form? y = tan- (cot z?)…

A:

Q: Calculate the derivatives of the following functions using either the product, quotient or chain…

A: (1) s=t1+tusing the quotient rule of the derivative…

Q: differentiate the functions and find the slope ofthe tangent line at the given value of the…

A: s'(t)=9·3t2-8·2t=27t2-16t

Q: Calculate the derivatives below. (calculate approximately) 3 a) fcx)=x+4x-15 → flo) =? flo)=? %3D…

A: Use the following formulae, to calculate the derivative of the function fx at x=x0. Forward…

Q: 2-r f(r)=2ー: f"(r) 1+r

A:

Q: 5.) y = cot 7 x³ y' = %3D

A: Giveny=cot7x3To find y'.

Q: Find the derivative of the following function. y = (4t – 1)(5t - 6)1

A: y=(4t-1)(5t-6)-1

Q: 3 18. z= +5y')

A: Note- Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Use the table of values to calculate the derivative of the function at the given point. 1 4 6. f(x)…

A:

Q: Use the quotient rule to differentiate the following function: 9/7 – 20 f(x) 4VE +8 f'(z) = HINT:…

A:

Q: d'y of y = r10 sec 2

A: y = x10 - sec x Differentiating with respect to "x" dxdy = 10x9 - sec x tan x Again, Differentiating…

Q: Find the derivative of the following function." y = (x² + a)´ (bx + c) %3D when a = 5, b = 5.2, c =…

A:

Q: Find the derivative of the following function. y = 3.7* y' = ]

A: As per our company guidelines we are supposed to answer only one question. Kindly post other…

Q: Find the derivative of the function. 6. s(t) = 49 (6t - 7) %3D s'(t) =D %3D

A: Use the formula for derivative of a power of a function.

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Given curve y2(y2-4)=x2(x2-7) Now we will find the equation of tangent line to the curve at point…

Q: findthe derivative wer) r+13 dw = ? dr

A:

Q: Calculate the derivative indicated. d' | 1 dæ? where y = 2- + 2x? =6 6 Answer: 4x – -

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Q: Find the derivative of the function. V5 -4 f(s) = Vs +2 Choose the correct answer below.

A:

Q: Solve for the derivative of the following functions. Write your answer on a separate sheet of paper.…

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: The given equation is x2+y2=2x2+2y2-x2,0,12. Differentiate with respect to x,…

Q: Use implicit differentiation to find y' and then evaluate y' at (3,4). 8x² - y³ - 8 = 0 y' =|…

A: ddxfx±gx = dfxdx±dgxdx dafxdx=adfxdx dxndx=nxn-1.

Q: Jse the definition of the derivative to show that the derivative of y = f(x) = %3D

A:

Q: ax +b 35. y= cx+d 36. y= (x' +4x) 37. y = (r -x+1)

A: We have to find out the derivative of the function using differentiation  rules formulas . We use…

Q: Find y' if x Y= y* %3D

A:

Q: Find the derivative of the function. g(u) = Vu + 1(1 – 3u2)7

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Q: Calculate the derivative indicated.

A:

Q: C 29. y A+- + 30. у%3 1+ vr 31. у 3D 1+cx

A:

Q: Calculate the derivative in two ways. First use the Product or Quotient Rule; then rewrite the…

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Q: Differentiate the following function. You do not need to simplify the derivative. dy d.x || y = 2e²²

A:

Q: Differentiate the function and find the slope of the tangent line at the given value of the…

A: The given function is: s(t)=9t3-2t2...(1)

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: