To three decimal places, the slope of the tangent to the curve f (x) = log, x , at x = 2 is:

Q: Find the slope of the tangent line to the function f ( x ) = x ^x at x=2.  Round your answer to the…

A: Given,         The slope of the tangent line to the function fx=xx at x=2.

Q: Estimate the slope of the tangent line of the function f(x) = 2e* at the point x = e. %3=

A:

Q: Find a formula for the error E(x) in the tangent line approximation for f(x)=√(1+x) near x=a=0 ?

A: Differentiate the function f with respect to x, to find f'(x). Substitute 0 for x in fx=1+x and…

Q: Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = V12x + 4 at…

A: The function is fx=12x+4 and the point is given as 1,4. Differentiate the function with respect to…

Q: Find the equation for the tangent line to the curve  y = f(x)  at the given x-value. f(x) = x ln(x…

A:

Q: Find the equation of the tangent line to the graph of f(x) = x³e-* at a = 0.

A:

Q: Find the equation of the tangent line to the graph of f(x) = In x at xo = e 8.

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = e*…

A:

Q: find the slope of the tangent to the curve of f(x)= 1/square root of x at the point where x=1/4

A: Topic:- application of derivatives

Q: 4. Determine the point(s) at which the graph of f (x) = has a horizontal tangent. Simplify as much…

A:

Q: For f(x)=x5, the instantaneous rate of change is known to be 405 at x=-3. Find the equation of the…

A: y=fx=x5instantaneous have of change is known to be 405 ,or x = -3∴ y=f-3=-35=-243

Q: Find the equation of the line tangent to the graph of y=log, (5x + 1) at x= 2

A:

Q: For f(x)=x5​, the instantaneous rate of change is known to be 5 at x=−1. Find the equation of the…

A:

Q: Q2. Find the slope of the tangent line to the function f(x)= at x 4 by using the 2Vx definition of…

A: Given that,

Q: Find an equation of the line tangent to f(x) at the point |3D 1+e

A: Find slope at given point and then use formula  to find tangent line

Q: The slope of the tangent line to the graph of x2 – y? = ln(xy) at the point (1, 1) is

A:

Q: If ƒ(x) = e" + x, find the slope of the tangent line to f-'(x) at a = 1.

A:

Q: Find the equation of the tangent line to f-l x+4 at the point P (,0) for f(x) = 3x + 3

A: f(x)=(x+4)(3x+3)=x+13(x+1)+33(x+1)=13+1x+1 f'(x)=-1(x+1)2 f''(x)=2(x+1)3 the slope of the tangent at…

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: Our Aim is to find an equation of the tangent line to the graph of the function f(x)=e-x-6-(i) at…

Q: For f(x)=x3​, the instantaneous rate of change is known to be 3 at x=−1. Find the equation of the…

A:

Q: Find an equation for the tangent line to the graph of f(x) at x = 1.

A:

Q: 3. For the fiunction g(x) = x - 2x² –1, at what tangent point(s) is the instantaneous rate of change…

A: given function :

Q: Find an equation of the tangent line to the graph of the function y = log10 2x, at the given point…

A: Given:y=log10 2x  through the given point 5, 1Equation of tangent line:y-y1=mx-x1Slope:dydx=f'x=m

Q: 4. Find all points on the curve y = log (x³ – x) at which the tangent line is horizontal.

A: We will find all the points on the curve at which the tangent line is horizontal using calculus as…

Q: Determine the equation of the tangent line to the graph of y = f'(x) at the point where x = 1 if…

A:

Q: The slope of the tangent line to the graph of the function y= Ttx- cotx at x=0 is O T+1 O T-1

A: Solution is given below:

Q: Find the tangent line to the graph y = log„(x) at x = .

A:

Q: Find the equation of the tangent line to the curve at the gvien value x. f(x)= (7)/(x-2); x=3

A: Given,

Q: What is the derivative of log a x? Are there any restrictions on a?

A: Given function is,

Q: Find an equation of the tangent line to the graph of y = x(x + 1) at the point (3, 3072).

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = e=*…

A:

Q: A line with slope m passes through the origin and is tangent to the graph of y = ln x. What is the…

A: Let the point of contact is (h,ln(h)) We find the slope of the tangent using dy/dx

Q: 3. For the function g(x) = x' - 2x -1, at what tangent point is the instantaneous rate of change…

A: Instantaneous rate of change of f(x) at x=a is given by f'(a), where f'(x) is the first order…

Q: 7. Apply the appropriate rule to determine the slope of the tangent line to the curve graph given by…

A:

Q: Find the equation of the tangent to 1 y =- at x = 3 X

A: Given curve is y=1/x

Q: Find the equation of the tangent line to the graph of f (x) = 2e- at x = 0.

A: A tangent is a line that just touches the curve at a particular point

Q: Find the slope of the tangent line to f(x)=ex at the point (1, e).

A: Given,         The slope of the tangent line to fx=ex at the point 1,e.

Q: Find the slope of the tangent to the curve y2 ln(x) + x2y = 7 at (1, 7)

A:

Q: Find a number such that the tangent line to the graph y= log,(x) at x = a is parallel to the tangent…

A: The objective is to find the value of a

Q: Find the equation of Tangent line to the graph of f-1 at the indicated point p(2, 1) of the…

A:

Q: Find the equation of the tangent line to the graph of f(x) = 6x ln(x + 4) at x = 4. y =

A:

Q: Find the equation of the tangent line to the graph of f(x) at x = 2, if 25 f(x) = 2.5 + log5 2 (x -…

A: For x=2 f(x)=2·5x+log5252xf(2)=2·52+log5252(2)f(2)=2(25)+log525f(2)=50+2f(2)=52 So the point is…

Q: For f(x)=x^3​, the instantaneous rate of change is known to be 27  at x=3. Find the equation of…

A:

Q: Show that there are no points of the graph of y = log; x where the tangent line is horizontal.

A: Given equation:                                                          y=log5x   where the tangent…

Q: The slope of the tangent line to the graph of the function y = 5/T – 4 at (16, 16) is , O -1.50 O…

A: We have to find the slope

Q: The tangent lines to the graph of f (x) = x2 grow steeper as x increases. At what rate do the slopes…

A:

Q: Find the equation of the tangent line to the function f(x) = 4* at x = 3.

A: The given equation is fx=4x and x=3 To find the equation of the tangent line. The formula for the…

Q: Find the equation for the tangent line to the curve y = f(x) at the given x-value.   f(x) = x ln(x…

A:

Q: The slope of the tangent line to the graph of y = e3 at x = In 2 is

A:

Q: Find an equation of the tangent line to the graph of (log æ)cosh(a-10) , x >1 at the point where x =…

A: Given equation is  y=log xcosh (x-10), x>1 at x=10

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.