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

Q: Determine the slope of the tangent line to the graph of the equation ey = [cosh x] tan−1 (2x) at x =…

A:

Q: Find the derivative of the logarithmic functions: y = ln (tan^2 θ )

A:

Q: Find an equation of the tangent line at the point indicated. y = ln(sinx),      x = π /4

A: The equation of a tangent line can be calculated using the slope point form of the equation of line.…

Q: 3. Find an equation of the tangent line to the graph of y = log,x at the point ( 32,5).

A: We need to find the equation of the tangent line to the graph of y=log2x at the point (32,5) . Using…

Q: Find an equation of the tangent line to the graph of f (x) = 1/√x at x = 9.

A: The equation of the graph is given as, fx=1x We need to find the equation of the tangent to the…

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

A:

Q: Find the equation of the tangent line at x= 10

A: To find: The derivative of function fx=x-1 by limit definition of derivative and also find the…

Q: Find the slope of the tangent line to the curve - 2x2 + 3xy + ly 38 - at the point (1, – 3).

A: Given:   To determine: Slope of the tangent line to the given curve at point (1, -3)

Q: What is the derivative of y = (inverse tangent(3x))^2 ?

A: We will differentiate the given function with respect to X and use chain rule while differentiating.

Q: Find the derivative, if y3 (log x)* + y = (log x)* +(sinx) -1

A:

Q: Compute the derivative in terms of log for y=log(xe^(-3x))

A:

Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (5, ln(25)).

A: Given:

Q: 11. f(x) =log, 1+x

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: What is the first derivative of s(x)=(6x)^3x at x=3? Enter an exact answer in terms of a natural…

A: We will take the logarithm with base e and then find the derivative with respect to x and then…

Q: Find an expression for the derivative of the exponential function y=ex using the definition of…

A: To determine the derivative of exponential function y=ex using definition of derivative.

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

A:

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

A: Here given function as y=log102xory=log 2xlog 10 Differentiate with respect to x dydx=log2xlog…

Q: y = (cos(x²))*

A:

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: Use log differentiation to find derivative of y with respect to the given independent variable

A: Topic = Derivative

Q: Find the derivative of y=arcsec x at x=√2.

A: Given:

Q: Calculate the derivative of the following function. y = 8 log 2 (x² - 3)

A: Given, To evaluate,

Q: Find the derivative of the function. y= log 4- x

A:

Q: Find an equation of the tangent line at the point indicated: f(x) = ln(x²), x = 4.

A: NOTE: Refresh your page if you can't see any equations. . here we have x=4 so the point on the…

Q: What is the tangent line approximation to e* near x = 4?

A:

Q: - ton o七

A: Use chain rule of derivative and differentiate one by one in chain form.

Q: Find slope of the tangent line to the graph f(x)=; at x = 0. 1+cosx

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the…

Q: Find an equation for the tangent line Y= 4x-since when x=0

A: To find the equation of tangent  line

Q: Find an equation of the tangent line to the graph of the logarithmic function at the point (1, 0). y…

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 derivative   Y=ln(4+X^2 )

A: The given function is,

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: Find the equation of the tangent line to the curve at point (0, ln 2).   y=ln(e^x+e^4x)

A: the equation of the given curve is: y=lnex+e4x we have to find the equation of the tangent line to…

Q: Find the derivative of the natural logarithm y=lnx.

A:

Q: Find an equation of the tangent line to the graph of y = e at the point 5,

A:

Q: Find the equation of the tangent line on the function f(x) = arctan (x²) at the point (1,).

A: We can find the equation of tangent line to the curve as below.

Q: Find the derivative of y= log, (5x³)+log, (sin.x)

A:

Q: ミr

A:

Q: find the equation of the tangent line to the graph of the logarithmic function at the point (1,0)…

A: Given problem:- find the equation of the tangent line to the graph of the logarithmic function at…

Q: What is the derivative of the function  x^8(ln(x))?

A: To find the derivative of the function x8(ln(x)) as follows.Redefine the function as follows.

Q: Find the derivative of f(x) = log(-6x* – 6x + 5) at the point x = 2. Provide your answer below:…

A:

Q: Find the derivative of the logarithmic functions: y = ln ( 4x^3 - x^2 + 1^2)

A: Application of derivatives

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

A: First we have to find the differential equation for slope of this function.

Q: Find the higher-order derivative. (4 log 2(x – 5)) dx2

A: Given, d2dx24 log2x-5

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

Q: Find the derivative of the function. h(x) = log4(x + 9) h'(x) =

A: Topic = Derivative

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: