y A 20 16- 12 - 4. + + + + + + -5 -4 -3 -2 -1 -4- 3 4 5 X -8+ -12 2. CO

Q: Let f(x) = x'. Find the slope of the line through the points on the curve y = f(x) where x = -2 and…

A: Let fx=x3. We have to find the slope of the line through the points on the curve y=f(x) where x1=-2…

Q: h(w) = -9w-8 +16/w

A:

Q: find the derivative  f(x)=x+3+4/x

A: The derivative of the function as follows.

Q: Find the derivative of f(x) = 1 at x = 3

A: The given function is: fx=1x Using the formula of derivative i.e., ddxxn=nxn-1

Q: Use derivatives to sketch the graph of f(x) = (x² – 8x + 16)e².

A: Given

Q: Find the first, second and third derivatives of f(x) = 1/x. From this, deduce a pattern and use this…

A:

Q: Graph the function Y2=nDeriv (“originalfunction”,X,X). By doing this, you’re having the calculator…

A: Please write this statement properly,  Graph the function Y2=nDeriv (“originalfunction”,X,X).    It…

Q: F(x) = (3x- 1°C2+ - 235

A: Solution:

Q: f(x)=x2+2x-1 g(x)= -500/x, x ≠0 k(x)= |x-2| For each function, do the following: Graph the…

A: a) fx=x2+2x+1 Now, f'x=2x+2 Graph is,

Q: Give two different interpretations of the derivative of the function y = f(x) at x = a.

A: If f(x) represents a quantity at any x then the derivative f′(a) represents the instantaneous rate…

Q: Find the derivatives w.r.t. x. F(x)=x³-x

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: Find the derivative: y = (4 – x)(x³ – 2)

A: Given y=4-xx3-2

Q: Help to find the derivative of f(x)=1/3x.

A: The given function is fx=13x

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: