Find the following derivative and state a corresponding integration formula. 3x - 1 2x2 + 2x + 2 d dx

Q: 2x-1 dx

A: Given,

Q: dz. 2ª + 9 tegrate

A: The integration of the integral x/√(x4+9).

Q: e +e =e**

A:

Q: Find the second derivative. y = 6x3 - 5x2 + 3e* O 10x - 36 + 3e* O 10x - 24 + 3e* O 24x - 10 + 3e* O…

A:

Q: Find the first derivative: y= In V5x3 - 2

A: Given: y=ln5x3-25 We need to evaluate dy/dx. This can be done as follows:

Q: Зx2 — Зу? %3D 4.

A:

Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: Integrate the following. x-1 1. S dx /x2-2х-5

A:

Q: Find the first derivative. x= -6t + 4t+ 1 xp dt

A:

Q: Find the derivatives of the functions s =√t/1 + √t

A: The function is s=t1+t.   Differentiate the function with respect to t.…

Q: 11. In y = e" sin x

A:

Q: Find the nth order derivative of the cube root y=3√x.

A: We first find the first three derivatives using the power rule