Differentiate the function.   f(x)  =π2

Q: Find the point "P" on the graph of the function y=sqrtx closest to the point (10,0)  The x…

A: Let the point is (x,y)= (x,sqrt(x))Distance of (x,sqrt(x)) from (0,0) is D

Q: Find the point P on the graph of the function y = x closest to the point (2, 0) The x coordinate of…

A:

Q: For what value of x does the function g(x) - 2x? concave downward? А. x2 -1 x 2 0 С. x 2 -2 D. x< 2…

A: The derivative of a function gives the slope. When the slope continually increases, the function is…

Q: Find the equation of the function g(x) described above.

A: We know that if the graph of function y=f(x) is stretched by a units(a&gt;0, shifted to the right by…

Q: Find the domain and range of the function.

A: Given : The function f(x, y) = ln(xy - 6)   To find the domain and range of the function.

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A:

Q: Using the criterion of the first and second derivatives, find the graph of the function c) F(x) = x…

A: Topic = Functions

Q: 2a. Which is the "upper" curve O f(x) O g(x)

A: Solution:

Q: Describe the domain of the function f(x, y) = ln(7−x−y).

A: (18)

Q: d (x+;

A: Here we use chain rule of differenciation.

Q: Sketch the graph of the function. f(x, v) = y? + 7

A:

Q: For what x-value(s) is this function not differentiable? x² – 9 f(x) x + 3

A:

Q: One method to obtain an approximate solution is to plot the function and determine where it crosses…

A: True  is correct ans

Q: For what value of x does the function g(x) 2x concave downward? 1/3

A: The function is concave downward when  f '' (a) &lt; 0  at x = a

Q: 10) What is the domain of the function f(x) = Eo?

A: Domain

Q: The Range Rf for the function y = Vx is:

A:

Q: Determine the local extrema of the function f(x)=xln2x.

A:

Q: determine the slope function S(x) for f(x)= lxl

A:

Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x²-20x а. 1+x? b. y=- 1-x?

A:

Q: Find the Zero and its oodex for the function flz)=1- Ti+Z+

A:

Q: The cube root parent function y = Vx has been transformed a) 2.

A: given graph

Q: The Range Rf for the functionf (x) = tanhx is:

A: Range of f(x)= tanh x

Q: Find the absolute extrema of the function y = √x - 9 on the interval [9, 45].

A: To find the absolute extrema of the function y=x-9 on the interval 9, 45.

Q: 2. Find the domain and range of the function y = Vx + 4

A: We Know that  Domain: The set of all points over which a function is defined. Range: The set of…

Q: Vx-1 for the function f(x) = -! by using quotient rule. Vx +1

A: Use quotient rule for derivative

Q: Express the function in the form   f ° g  ° h

A: The given function is Rx=x-1 It is required to show the given function in the form of fogoh. So,…

Q: (a) Define what it means by for y = f(x). %3D

A: In this question we have to define the meaning of dydx for y=fx

Q: Solve the Problem. Approximate the curve of the given function f. f(x) = x³ + 7x² – 5x

A:

Q: Solve the Problem. Approximate the curve of the given function f. f(x) = 4x+ + 16x² + 16x²

A: Given that     f(x)= 4x4 + 16x3 + 16x2. Appropriate the curve of this given function f(x). We use…

Q: d y is a function of tin

A:

Q: Express the given quantity as a function f(x) of one variable x. the perimeter of a rectangle of…

A:

Q: Consider the function f(x) = z + 6

A: Givenf(x)=1x+6

Q: Find ƒ″(x )  for function. Then find ƒ″( 0)  and ƒ″ (2)

A: The given function is: fx=lnx4x To find the first derivative of this function, apply the quotient…

Q: Solve the Problem. Approximate the curve of the given function f. f(x) = x³ + 2x2 – 15x

A:

Q: Describe the domain of the function f(x, y) = ln(4 x - Y).

A: as per guideline i am answering one question .please give a like !

Q: Differentiate the function with respect to the independent variable. f(x) = - 8x+ e + e f'(x) = D

A:

Q: 1 For what value of x does the function g(x) =x³ – 2x² concave downward? %3D

A: Consider the function  gx=13x3−2x2

Q: O For what value of x does the function f (x) = 4x2 – x +1 have a horizontal tangent?

A:

Q: 8. 4 2

A: In this question we will use basic of calculus i.e use of tangent function. We will write the…

Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y).

Q: Find the point P on the graph of the function y=√x closest to the point (5,0) The x coordinate of P…

A: Since, we have to find a point P on the graph of the function y=x -(i) closest to the point…

Q: Differentiate the function.

A: As=-12s5⇒As=-12·s-5

Q: 6- For the function y=lnx a- Describe what type of function it is. b- How is the function related to…

A:

Q: Use the graph of f(x) = [[x]] to graph the indicated function. y = [[2x]]

A: Given function is: y=[[2x]] It is greatest integer function. Given basic function is: fx=[[x]]

Q: Consider the function defined by f(x,y) = 4x² + y? (a) Find the domain and range of f.

A: Given function: fx,y=4x2+y2To find: Domain and range of f.

Q: J 3(x)is even function

A: Bessel Function The property of Bessel function says that- (1) Jnx is an even function when n is…

Q: Differentiate the function.

A: Given: y=ex1-ex

Q: 3) Differentiate the function, and simplify the result. F(x) = ="(1 + V¤)

A:

Q: Find the curve length of the function 1 1. f(x) = ;x² 0 < x < 3

A: We can find the curve length as below.

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.