IN QUESTIONS 1-9, FIND THE DERIVATIVE. 1. y = 5x* – 9x³ + 7x 2. f(x) = 3+ 8x +7 %3D 4x5-5x*-6x+10 4. y = 5. y = -5x ( x2

Q: 9. f²-2x(3x - 1) dx

A:

Q: d 3) (2a)* = (Derivative of an exponential %3D function)

A:

Q: What function could have −4x+20 as its derivative?

A:

Q: Find the derivative of f (x) = 3x2.e3x2 A 6x2. e3x2 + e3x² 3x2. e 3x² + 6x - e 3x2 ©) 18x3. e3x2 +…

A: Derivative

Q: 4 Find the derivative of y = 8* +

A:

Q: Find the derivative of 2x+1/3x-4

A: Given expression in x shown below. We need to find the derivative of the expression with respect to…

Q: Find the derivative of the following equation x+3 x-4 (a-4)° 2x (x-4)² 7 (x-4) 2x-1 (x–4)°

A:

Q: +7V + - 5x + 6. Find the derivative of y = 9 - 5х + 6.

A:

Q: 1. Find the derivative of (a + 3x + 8) (3x' - 7x + 2).

A: The given function is x2+3x+83x4-7x+2

Q: (c) y = h(z) = V4z (d) y = k(x) = %3D %3D %3D

A: c) Consider the given function, y=hx=4x=22x=2x Differentiate on both sides w.r.t x, dydx=ddx2x=2ddxx…

Q: Find the derivative. y = e2= . 8x3 24x?e2 + 16x4e2« – 1 O 2e2a . 24x? 24x e2 + 16x³e2* O 2xe2a…

A: We will find the derivative using Chain rule.

Q: 2. Find the first derivative of each function: a/y = x³e; b/y = log6 (2x² - 3x + 6); c/ y = e2x cos…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: