7. Find y'. y = log, (9– x-x)

Q: 3. Which of the following exponential functions is NOT increasing on the entire real line? a. fAx) =…

A:

Q: 5. Find f'(x) given f(x) = 6 log, x + 4* – 8e*

A:

Q: Calculate y" and y"". y(x)= y" (x) = y"" (x) = 10e*

A: The given function is

Q: 5. x' = (1²3) × X 5

A:

Q: (#7) y = log, ((3x – 5)(4 + 5x)')

A:

Q: Let y = 23 e- and set Y = ln y. Find an expression for Y in terms of x and then draw the graph of Y…

A: Given

Q: Let f (æ) = log2 (x). Find f' (2), round to three decimal places.

A:

Q: Differentiate implicitly to find y' log3 (x). tan cy+ 1) = y2 %3D

A:

Q: y=10x log10 X differentiate?

A:

Q: Find the equation of the line tangent to the graph of y when x 36. %3D log

A: Given y=xlog6x when x=36

Q: (a) E (e + log4 (7)) = 6*x^5*e^x^6 %3D dr (6) (()) - [ d da

A: We will use chain rule to don't the derivative.

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.