dy 2- Find for the following function: dx А- у%3Dх*. сosx B- y= 2(secx)²

Q: Differentiate y = 2(2x - 1)5/4.(2x + 1)3/4

A:

Q: exp(iz) = 1+ iV3.

A:

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: 1. f4x-³ dx -3

A: Find the integral

Q: y= c¡x+c2x²

A:

Q: Ex=1/e2

A: Ex=1/e2 => Ex=e-2

Q: S= 2rh + 2r^2 , for h Please show steps

A: Do the mathematical operations such that only h remains one side and other all shifted to others…

Q: find the first and second derivatives

A: Given expression: w=3z7-7z3+21z2

Q: find dy du

A:

Q: Differentiate y = 5/x4 - x3 + 1.

A: We need to differentiate y = 5/x4 - x3 + 1.

Q: y=cosh^-1 (3)

A: We have to find the value of the given expression y=cosh-13.

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: d.x

A: Substitute u=x2

Q: y =x^3+3x / x Find y”

A:

Q: | sech²xtanh²x dx

A: We can find the integration as below

Q: * Drive the following function for :(y) (5xy²z)²/³ * (sinxz) 20(sinxz) (xyz) 3(5xy²z)¹/3 A 10(sinxz)…

A:

Q: find dp/ dq. sin q + cos q = cos q

A:

Q: 04/ Plot the function y 4x- 26x2 + 10x + 8, and its first and second derivatives, for -1sxs3, all in…

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Q: The displacement of a particle is given by s = 3t³ - 45t² +99t-65 where s is in feet and t is in…

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Q: Differentiate the function P = 10e-0.8t P' = %3D

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.