Suppose y=4V X +6V x. What is the value of its derivative at a=64? Write the answer in exact form, an integer, or fraction in lowest terms. Blank 1

Q: Find the derivative of the function. t3 2 h(t) : to + 3 h'(t) =

A: Given function: Used formulas: Chain rule of differentiation, Quotient rule of differentiation,…

Q: Use the table to the right to find the given derivative. d. [xf(x)] dx x%3D5 d. dx xf(x)] x%35…

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Q: Find the second derivative of the function. 20 (2-0) 20 dr 2 O A. do 2 1 B. do? O OC. do 1 OD. do?

A: Given:  A function is given by,r=1+2θ2θ2-θ To Find: The second derivative of the given function…

Q: In  the given equation as follows , find the second derivative of the function :- see the  equation…

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Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Find the derivative: h(x)= [ dz a. b. x+1 2+2 C. d. 20+1) e. None of the above.

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Q: y = V7x – 8

A: Given: y=7x-8 To find:  dy/dx=??

Q: Find the derivative of the following function. 3x +8 h(x)%D xf +9 h'(x) =|

A: Derivatives

Q: Find an anti-derivative for each function when C equals zero

A: Now we will find the antiderivative of the given function when c=0.   [ antiderivative  mean…

Q: Find the derivative of the function.

A: ddx3x2+4x-8x32Apply the Quotient Rule:  fg'=f '·g-g'·fg2=ddx3x2+4x-8x32-ddxx323x2+4x-8x322Solving,…

Q: Solve for the derivative of the following and simplify if possible. h(t) = t3 - t2 sin t

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Q: Evaluate the second derivative of  the image if a = 380 and b = 0.4 at x = 5 using BDA  with Δx…

A: The finite difference formulae can be used to calculate the derivatives of the functions. The…

Q: Find the second derivative of the following function: 3x Vx y = e** +In(7e¬x + 5x³) – 52x +

A: Given,

Q: In the given question , find the derivative of the function? h(t) = t /6 sinh(-3t)

A: Given that: ht=t6sinh-3t

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

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Q: 1. x² – 4y? = 5

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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

A: We have to find derivative

Q: 13. Find the derivative of the following functions and simplify the answer: 2x + Va 1y (a' 5x2 - 7…

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Q: Solve for the derivative of the following function: v=1/t^3

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Q: 3. b. 13 15 flx)-7 12 37 25 31 42 57 Find First & Second derivative at 2=3.

A: Given x 1 3 5 7 9 11 13 15 f(x) -7 5 12 37 25 31 42 57 Here h = 2 We know that f'(a) =…

Q: Q1/ find the derivative of the following function 5x + 2x+3 f(x) =

A: d(u/v) = (v du - v du) / v²

Q: Find the derivative of w=(t^5+13)^138

A: Here , we use the power rule to find the derivative , if w= t^n ,then dw/dt=n (t^(n-1)) and if w= k…

Q: y = 6+4 Vx csc x

A: Topic = Derivative

Q: h(x) = e= a + 4 – x2

A:

Q: Q1/ find the derivative of the following function 5x? + 2x+3 f(x) =

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

Q: e2x-e-2x 4. y= e2x+e-2x

A: Hyperbolic functions are similar to trigonometric if we consider the derivatives even though…

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: We will find f'(x) using the product rule and the chain rule.

Q: Use the table to the right to find the given derivative. d xxx) 1x=5 (Simplify your answer.) |x=5 X…

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Q: Find the second derivative, d'y where y is related to a implicitly by the equation below. 3a + 2y =…

A: the equation of given implicit function is: 3x3+2y3=12 we have to find the second derivative d2ydx2.

Q: Find the derivative of the function. 4 e W 7w dr dw %3D

A: We have to find the derivative of the given function

Q: Given the following equation: y = 12/x³ Which of the following equation represents the first…

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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: Find the derivative of the function y = 1ln(cos 2x)+4tan? (3x) Write the value of y (0) in the box…

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Q: 4. y = 6+4 vx csc x 5. R(t) = 2 sint-4 cost

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Q: What is the derivative of ( 6 t cott−4e^t)

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Q: 4x2 – 6x h(x) = 2e³x

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Q: Find the first derivative of each of the following: a. y= 15x + 4x° – 6x + 8 b. f(x) = x³ e* 3 c.…

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Q: R(t) = 2 sint-4 cost

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Q: 1 2. f(t) = Vi te? -2

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Q: Q(x) = Jx + Vx + Vx + ·…

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Q: If s=4√t−2, then was is the f'(x) or derivative?

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Q: Find the second derivative, d72 where y is related to x implicitly by the equation below. 5a -y = 10…

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Q: 12. Find the derivative of the following function. y = 71n(x -4) a. x3-4 b. Зx? х* c. d. 21x?

A: To find the derivative of the below function.          y = 7ln[x3 – 4]

Q: Find the indicated derivative. d?y If y x-x/2, find dx2

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

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Q: What is the derivative of y = (a^3 - 25)/ (a^2 +5a +25)

A: we have to find the derivative of the given expression    the given expression is…

Q: • Find a formula for the nth derivative of y = 47ª, telling me how you decide what to do at each…

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Q: こ2e

A: The function given to us is  f(x)=2e4x-1

Q: 3 g(x)=Vx² – 2x %3D x3-2x+5 f(x)= x²+3x

A: Consider the given: Use the chain rule of derivative: ddxfu=dfdu·dudxChainrule Find the first…

Q: Find the derivative of the function. h(t) = t?(7t + 2)3

A: