Differentiate the function P = 5t³ + 4e'. dP dt

Q: Compute the derivative of the function F (x) = L evi dt.

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Q: Calculate the derivative indicated.

A: given,        A=dPdVV=-2     where P=7/V

Q: Prove the formula.

A: Given a function Arc Sine Hyperbolic (t). We need to find the derivative of the function. Let's…

Q: integrate by parts f(x)=x2e2x dx

A: f(x)=x2e2x dx To integrate the given function by parts.

Q: y =x3 dy Itx² -

A: Note  You type wrong Question here in place of dx/dy must be dy/dx  I solve it using dy/dx otherwise…

Q: Find F '(x). sin(x) F(x) = 3Vt dt

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Q: Calculate dy/dx using implicit differentiation. 3x + 4y3 = 7

A: 3x + 4y3 = 7 We need to find the derivative using implicit differentiation.

Q: Find the derivative of y = = Ve-5t +1 dy dt ||

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Q: Find the derivative of the function. F(x) = et dt

A: The function is given as F(x)=∫xx2et4 dt. The Leibnitz rule of differentiation under the integral…

Q: Compute the derivative: 3 | Vsin t dt dx

A: To find ddx∫x3sin t dt We know that, ddx∫u(x)v(x)f(t) dt = f(v(x))v'(x)-f(u(x))u'(x) Then, we have,…

Q: Determine the anti-derivative of Y = 2e3x +5 and use the fact that y(0) = 7 to %3D dx determine c,…

A: We first separate the variables and then integrate  c= integrating constant Formula used:

Q: Find the derivative of the function y = 5 . 5t +3·3. dy dt

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Q: Find the derivative of F(x) = 4 sin(t) dt. 3x2 dx Jcos(x)

A: Given that,

Q: Calculate the derivative indicated.

A: Given: s=4z-16z2  ……1   To find: dsdzz=2

Q: I need help with this question

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Q: Find the third derivative of ƒ (z) = VT2z+I. f" (z) =

A: We use the exponent rule and chain rule.

Q: Calculate the derivative: + (2t3 – 9t) dt = dz

A: Evaluate the given derivative as follows. ddx∫0x2t3-9tdt=ddx2t44-9t220x=ddx2x44-9x22-0

Q: Differentiate: F(y) (y + 9y°) yA - y?

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Q: Find the derivative of the function. 1 3x' g(x) = dt 1 + t4 Jtan x

A: Given : g(x) = ∫tanx3x211+t4dt

Q: calculate derivative of y wi reapect to ino dy

A: The derivative of the given function is calculated with the help of the formula d(x^n)/dx =…

Q: Find the derivative of the funciton F(x) = dt. F'(x) =

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Q: Find the set of orthogonal trajectories for r = VA sin (2e)

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Q: Find the derivative of the function.

A: we have to find the derivative of the function F(x)=∫1x1+t4dt

Q: Determine the integrating factor xydy - (y2-3x2)dx = 0

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Q: Find the derivative of the function. -1 y = (3t – 1)(6t – 5) dy dt II

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Q: Find dy/dx by implicit differentiation: Square root is of both (xy)= 1+x^2y

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Q: Estimate the indicated derivative by any method. x = 4t + t2; estimate ds/dt | t= -2

A: Given, x=4t+t2 We have to find dxdt at t=-2 We will use following formula to differentiate the…

Q: Calculate the derivative indicated.

A: Since, y=4t-3+3t2  -(i)dydt=ddt4t-3+3t2=-12t-4+6t⇒dydt=-12t-4+6t

Q: Find the derivative. X dt 14) dx lol 0 5t+ 6

A: To find the derivative of given integral.

Q: The integrating factor of Y + 3y cscx= cotx is?

A: Consider the given differential equation, y'+3ycscx=cotx This is the first order linear differential…

Q: 2x f(x) sec(t*) dt. %3D -2x

A: Given,            f(x) =∫-2x2xsect4 dt

Q: Use linear approximation (or differentials) to estimate the given number. 3 а. V8.12

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

Q: TO Show Jv - x-V そーレ V+ dx

A: Jvx = ∑m=0∞ -1mx22m+vm! m+v!

Q: Find dy/dx by implicit differentiation. 2x3 + 3y3 = 64

A: Given: 2x3+3y3=64 for finding dydx, we differentiate given expression

Q: In integrating the function fx In 5x dx using integration by parts, what would be your v?

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Q: Does the differential dy represent the change in f or the change inthe linear approximation to f ?…

A: Given the differential is dy.

Q: Evaluate the derivative So (3t² – 2t +1) dt. -

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Q: Determine the derivative of y. y = eV14x+6 %3D

A: Please refer the attached image for complete solution.

Q: ex dx

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Q: Find the derivative of 3 x +7 y = 8 dy %3D dx

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Q: dy Differentiate implicitly to find dx exy 2x+9y+3

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Q: Find the derivative of the function. F(x) etd dt F'(x) =

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Q: Find the derivative of the function. 1 g(x) = dt Jtan(x) V2 +

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Q: Calculate the derivative indicated.

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Q: Find the derivative of the function. y = (3t – 1)(6t – 6) -1 dy dt II

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Q: Differentiate the function. 1 y3= (2x +3) dy dx

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Q: Find the 1st and 2nd derivative of: Vx + Jy = va

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Q: Find the derivative of the given function a. F(x) = dt 1+ b. g(x) = [ - dt sinx 1+1*

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