Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check your answers by differentiation. 9 1 b. 3(x? +1) а. C. 1+ 121x?

Q: Let x? + y2 = 10y. First find by implicit differentiation, simplifying the answer where reasonable.…

A: We First differentiate to find the slope of line at given point . Equation of line  y-y1=slope…

Q: 29.:* Find the derivative: h(x)= | dz z+1 a. b. C. 2+2 d. 2(x+1) e. None of the above.

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Q: y? 1 25 x2 49 and y(2) = 5 V5, find y'(2) by implicit differentiation. /(2)

A: Given query is to find indicated derivative.

Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

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Q: Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check…

A: LetI=∫31-x2dxTake the constant out:  ∫a·fxdx=a·∫fxdxI=3·∫11-x2dxUse the common integral:…

Q: Find the derivative of the function. h(t) = (t + 5)2/3(2t? - 1)3 h'(t)

A: We will use following formulas to find h'(t) 1.d/dx(xn)= nxn-1 3.d/dx(uv)=U dv/dx +vdu/dx

Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

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Q: 4. Use the table to find the value of the derivative of each function. c(t) 3 c'(t) L(t) l'(t) 2 2…

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Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: Therefore,

Q: Find the antiderivative for each function when C equals 0. Do as many as you can mentally. Check…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: See the details solution in below

Q: Calculate the derivative indicated.

A: Given:                    x=t-34 Find: First order derivative…

Q: Consider the following. 8x? - y3 = 3 (a) Find y' by implicit differentiation. y' = (b) Solve the…

A: Given,           8x2-y3=3

Q: Let R be a variable and r a constant. Compute the derivative. d :(1º . R?) dR

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Q: Find the derivative of the function. h(t) = (t + 5)2/3(3t? - 5)3 h'(t) : =

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Q: I. Use the definition of the derivative f'(x) = ļim 7&+h)-7® to find the derivative of the following…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: 19. D 20. 21. y = x + 1

A: We have to find 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 first and second derivatives of the functions

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Q: d²y by implicit differentiation. dr2 Given the equation 8y? – x³ = 3, find Answer d-y dx?

A: 8y2-x3= 3 Diff.w.r.t. x, (16y)(dy/dx) - 3x2= 0 Again diff.w.r.t. x, 16[ (dy/dx)+ y(d2y/dx2)] -6x=0…

Q: Answer the following question which 13. Find the derivative of the following functions and simplify…

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Q: 5z Find the derivative of the function w = 1+4z dw dz

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Q: Find the derivative of the function. s(t) = 48 (4t° - 5) s'(t) =

A: Solution: apply chain rules. Below in full solution

Q: Find the derivative of the function. Re) = (6t + 17)2/3 f '(t) =

A: Given  ft=6t+723 To find the derivative chain rule is used F't=f'gxg'x and the derivative used…

Q: m'+4m (1-m*)7

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Q: dy The second derivative for the function 7y + 12x = 3x² is

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Q: Q9. Which of these is not the derivative of the function, y = x": A. -½x-1½ B. –0.5x-1Vx-1 C. –0.5 1…

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Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: Consider the following integral: ∫e3xdx Substitute 3x=u→3dx=du→dx=13du in the above integral:…

Q: For which value ofx is the derivative of f(x) = (x+ 1)*(x+ 3)* equal to 0? -3 c. 1 d. 3 a. с. b. 0

A: Here we have to determine for which value of x is the derivative of f(x)=(x+1)8(x+3)4

Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: We have to find antiderivative and have to check the answer by derivative for the function: -3x-4 We…

Q: 13. Find the derivative of the following functions and simplify the answer: 6x+ VE (a) 7x2 – 1 e…

A: As we know that the derivatives of:-  the Quotient Rule:  fg'=f '·g-g'·fg2 Apply the Sum/Difference…

Q: (2r") (V=) du and u = 2r", by the process of differentiation, da is Given the function equal to A.…

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Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

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Q: Compute the values of dy and Ay for the function y = e 5x + 6x given x = 0 and Ax = dx = 0.05. Round…

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Q: 9. Calculate the derivatives of the following functions. DO NOT simplify the answers! a) y = x° + 7°…

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Q: 1. The derivative of the function I (x) which is given by f )=-2x+3 atx4is A. 59 B. 48 C. 46 D. 10 E…

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

Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: fx=-13x-43 On integrating, we get ∫-13x-43 dx=-13·x22-43x+C=-x26-43x+C

Q: The height h m of a projectile after t s is given by the equation h = 340t – 5.0t? + 6 Use…

A: To calculate the maximum height. (in the given question h = 340t – 5.0t? +6, maybe the ? sign means…

Q: Find the derivative of the function. F(e) = (3t + 18)2/3 2 f '(e) = 3/ 31 + 18 Need Help? Read It

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Q: y? 1 and y(2) = 4.33, find y'(2) by implicit differentiation. 25 16 y'(2) =

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Q: y? 1 and y(3) = 2.83, find y'(3) by If 81 9. implicit differentiation. y'(3) = 2.

A: Explanation of the solution is given below...

Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: Given function, fx=e-x5

Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: Consider the given integral as ∫-csc5xcot5xdx

Q: Let x2 + y? = 82y. First find OY by implicit differentiation, simplifying the answer where…

A: Solution of question as follow

Q: 6x? – y? = 5 - (a) Find y' by implicit differentiation. y = (b) Solve the equation explicitly for y…

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Q: Find the second derivative of the function. t° + 10t + 7 d²s 10 14 O A. 715 dt? 13 4 20 42 O B. =…

A: We know that , d/dt ( tn ) = n tn-1

Q: Find the first and second derivatives of the function. h(t) = t4 - 9t3 + 4t2 - 6t – 13 h'(t) = h"(t)…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: The given function is  f(x) = 3x2 - 6x +9

Q: t3 – 3t? + 5t dt Find the general anti-derivative:

A: The solution as follows :-

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: