How can I find the general solution for the first-order ODE y′ =f(x).

Q: f (x) = (4x + 5)* (x²? – 2x + 5)* Find the Derivative

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Q: f(x) = 3x + 21, -3<x<0

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Q: If f(x) = ax+b „x # - , find an equation for f~²(x). Cx+d c'

A: inverse of f(x) = ?

Q: Find F′(x).

A: Given Data The integral function is F(x)=ꭍxx+2(4t+1)dt.   Solve the given integral function,

Q: Let h(x) = 3x² + x -x² + 3x - 3 what is h' (2)?

A: We need to find out h'(2).

Q: Find the derivatives of the functions

A: The derivative of the given function can be found with the help of the one-time differentiation with…

Q: On which interval is f(x) is concave upward? A. (- V6,0) U (0, V6) 3. (-m, – v6) U (6, + 0) Option 1…

A: For the solution follow the next step.

Q: Find f′(x) and f′(c). Function f(x) = (x2 − 4)/(x − 3) Value of c = 1

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Q: Find the points of inflection of the function f(x)=e−x2.

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Q: flx)=x =X-5 (x)= Find .f)

A: Here, the given function is: f(x)=x-5, g(x)=x2

Q: Find Y = Coth 1 (x)

A: Given that y=coth-1x find dydx

Q: f (x) = x2, x = - 1/2

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Q: F = (2+-1) dt

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Q: Find f′(x), if f(x)=(x4+1)(3x−1).

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Q: f (x) = x5, x = 1/2

A: The function is given as fx=x5

Q: function of xx if

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Q: Let h(x)=f(g(x)). If g(3)=−4, g′(3)=5, f(−4)=−6, and f′(−4)=4, find h′(3). Do not include "h′(3)="…

A: We have to find derivative of h(x) at x=3 .Information is given below:

Q: If f(x)=1/x5​, compute f(2) and f ′(2).

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Q: Find ƒ′(x) if ƒ(x) = 15e3x

A: Given information: fx=15e3x

Q: Assume that ƒ′(3) = -1, g′(2) = 5, g(2) = 3, and y = ƒ(g(x)). What is y′ at x = 2?

A: Given:

Q: If f(t) = (t2 + 1)(2t - 3et), determine the first derivative of f(t). a. (t2 + 1)(2 - 3et) + (4t2 -…

A: Given function for derivative f( t ) = ( t2 + 1 )( 2t - 3et )Formula used ddx( u.v ) = udvdx +…