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Q: F(X) = X + よ2 %3D

A: Given, fx=x+3x2

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

A:

Q: Determine where the function f(x) is decreasing given the first derivative is: ƒ¹(x) = x²(x + 1)

A:

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: Find the derivative: j(x)=x3/a+(a/b)x2 -cx

A: Derivative formula:

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

A:

Q: A quartz crystal occupies the space in the first octant where 0 ≤ x ≤ 1, 0 ≤ z ≤ 1-x, and 0 ≤ y ≤…

A: Note: The weighted average value of f(x,y,z) over region D is given by W(f)=∫∫∫Df(x,y,z)dVVolume of…

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: lease find the derivative of the function h(r) using the picture

A: given function :

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: Match the graph of the function with the graph of its derivative.

A: Assume that y = 0 at x1 and x2 in the given graph. From the given graph, it can be concluded that…

Q: Let ƒ(x) = x2, Find the derivative

A: ddxxn=n xn-1

Q: Find the 10th-order derivative of the function y=(x2+4x+1)√ex at the point x=0.

A:

Q: The derivative of a function at each point is itself. y=kex

A: To find out the derivative of the function.

Q: F(x) = X2

A: Consider the function: fx=x2 The derivative of f(x) with respect to x is the function f′(x) and is…

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: