Given f(x) = 2x + 1 and g(x)= Vx- 3 + 2, write equations for the following functions. %3D С. g'(f(x) b. g(x) a.

Q: Find the indicated derivative of the function. 1) d'y of y - 6x5 - 4x2 - 4x + 1 dx4

A: According to bartleby guidelines I have to solve only one question.

Q: Solve the second derivative forf(x,y, 2) = e

A: Given f(x,y,z)=esin(x²+y²)/z To find del²f/delx²

Q: Find the indicated derivative. 32 df If f(x) =F + 12 x, find dx x = 4 df dx x = 4

A: Topic:- Derivatives

Q: Find the second derivative of the given function. y = 4x2 + 5Vx + e*

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Q: Suppose that y is directly proportional to x.  If y=6 and x=3, find the constant of proportionality…

A: Suppose that y is directly proportional to x. If y=6 and x=3, to find the constant of…

Q: 4. Write the equation of the line tangent to f(x) = (e* +2x +1)In(e* +2x+1), when x = 0.

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Q: y = (e*+4 +2)/(e2+3x +1)

A: y=e-3x+4+2e2+3x+1

Q: Find the derivative of the function. g(x) = e¯x + 3e2x – 1e-x + 17

A: Use the property for the exponents to simplify the function g(x).

Q: Find the derivative of the given function. y= 2x°-8x +16x+4 dx II

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Q: Find the derivative and simplify A. y =((x2)/(2 + lnx)) B. f(x) = ln (√((4x + 1)/(5x + 7))

A: We have to find

Q: What is the millionth derivative of f(x) = e x ?

A: ex

Q: Find the first derivative of y = /2x . b. ht a. 2√2x C. 2 2x d. ے اپنا .. √2

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Q: Given the function f(x)=x2/3, which of the following is a valid formula for the instantaneous rate…

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Q: .  If y is inversely proportional to x, and if y = 16 when x = 5, find the constant of variation

A: Given: y is inversely proportional to x y=16 when x= To find the constant of variation

Q: The rate at which a ceratin disease spreads is proportional to the product of the percentage of the…

A: We have to find the rate R(t) at which disease spreads Constant of  Proportionality = 0.03 Percent…

Q: Find the derivative of the function. y = log 4 V3x +2

A: The Answer is Option A

Q: Suppose you drive your car on a perfectly flat road at a constant speed with no wind. In this case,…

A: As given in the question, The amount of fuel is directly proportional to the distance Travelled. ⇒y…

Q: Given the function f(x) = x2/3, which of the following is a valid formula for the instantaneous rate…

A: fx=x23fx+h=x+h23At x=8f8+h=8+h23f8=823=23×23=4

Q: Find the second derivative of the function y=4√x+1.

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Q: y = √√2x + 7

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Q: Find the second derivative of the function. f(x) = (3 + 2x)e−3x

A: Given:The given function is f(x)=(3+2x)e-3xTo find:The second derivative of function f(x)

Q: Find the derivative of f(x)=(x+4)e^(5x)

A: We have to find the derivative of f(x) ,where f(x) is given by

Q: Find the derivative of the function. h(x) = e2x2 - 7x + 3/x %D h'(x) = ||

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Q: proportional

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Q: Find the first three derivatives of the function h(x) = 3 + 4x³ −3+7

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Q: Solve for the derivative of the given equation below. x2+1 f(x) x2-1

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Q: Find the derivative of the given function. y =x² Vx-

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Q: The derivative of the given function is y = 2(32x)

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Q: Solve for the derivative of the following implicit function. x2 4. 9. y2 : 1 4

A: Given equation is x29+y24=1

Q: Find the derivatives of the functions y = log2 (x2/2)

A: Given that y=log2(x22)

Q: 3. y = x/x + vx

A: As per our guidelines we are supposed to solve only one question i.e. the question no (3). For the…

Q: y² x2 + 1 9.

A: Given function is x2+y29=1

Q: Find the second derivative of the given function. y= 4x+9x %3D dx

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Q: Find the derivative of the function. e7x - e-7x y = 7x -7x + e

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Q: Suppose that electricity is draining from a capacitor at a rate that is proportional to the voltage…

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Q: y = 5v 3vã х

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Q: Given the revenue and cost functions R(x)=34x−0.3x^2 and C(x)=6x+14, where x is the daily​…

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Q: Find the derivative of the function. y = 4x e -2x – 4 e x5

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Q: Find the first derivative. (a) y=x* (b) y =xnx 2.

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Q: Find the 3rd derivative of the function y=f(x) given by the equation x2−y2=9. Solution.

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Q: Suppose that z is inversely proportional to y, and that z = 12 when y =16. Write an equation that…

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Q: Q3/ find the derivative La)= メ 2. logs (x+3) 2x+4

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Q: 2 2 X = 1+t2 y=r(1+t?)

A: To find second derivative of given function.

Q: find the following third derivative of y=(3x+2)2

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Q: Find the derivative of the exponential function f ( x ) = 5x 2 e 7x

A: Given function: f(x)=5 x2 e7x     Calculate the derivative of f(x): f(x)=5 x2 e7x   Take the…

Q: Find the derivative of the function g(x) = (4x2 + 2x – 3)e

A: g(x)=(4x2+2x-3)ex

Q: Find the second derivative of the function. y = 1/(5x + 1)

A: we have to find the second derivative of y=1(5x+1)=(5x+1)-1

Q: Given the function g(x)=x² −2x³ +1, a. Estimate the instantaneous rate of change at x = 1. b. Will…

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Q: Find the derivative of the function. 4x° +8 y = y' =O

A: We have to find

Q: y = (x² + x + 1)²

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.