y f(x) = x²e* a

Q: Find an equation of the tangent line to the graph of y = ln (x^2) at the point (4, ln (16))

A:

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 curve at the given point. y = ln(x2 − 6x + 1),    (6,…

A: Equation of the line to the curve at the given point is shown below.

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 function f(x) = e*-1 In(x + 1) when x = 0.

A:

Q: Find the slope of the tangent line to f(x) = e^[3 (x^2) − 4x] at the point (0,1).

A:

Q: y = 7x + e5x ; (0, 1) %3D

A:

Q: Find the equation of the tangent line to the curve point (1,0). f(x) = x – e²²-1 at the

A:

Q: Consider the graph of the function f(x) = ln(1 + x²) for x > 0. 1. Find f'(x). 2. At which value of…

A: Ta which value of x the slope of tangent line the greatest.

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 equations of the tangent lines to the graph of y = ln  x  at x = 1 and x = -1.

A: To find equation of tangent lines at x=1 and x=-1f(x)=lnx

Q: The slope of the tangent line to the curve tanxy) + y= 2 at x=0 is O a 2 O b.-2 Oc-1 O d. 1

A:

Q: Find the equation of the tangent line and the normal line to the graph of the function b) f(x) = x…

A:

Q: Find an equation of the tangent line to the curve at the  given point. y = ln(x2 - 3x + 1), (3, 0)

A: Given: y=ln(x2-3x+1), (3, 0)

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

A: The given function is f(x)=x9e-x at x=0.

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

A: Given:

Q: The slope of the line tangent to the graph of y = In(x²) at x = e² is %3D

A:

Q: Find an equation of the tangent line to the graph of y = In(x2) at the point (3, In(9)). %3D *+2 ln…

A: y-y1=dydxx-x1

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

A: we have to find the equation of the tangent line of the given function at the point (1,0)…

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

A:

Q: Find the exact equation (without decimal approximations) of the tangent line in the form y = mx + b…

A:

Q: The slope of the tangent line x = e*, y = In e3x

A: Let's find.

Q: Find the slope of the tangent line to the curve y3 + yx2 + x2 − 3y2 = 0 at the point P(0, 3) by…

A:

Q: 12. Find the x-coordinate of the point on the graph of y= Vx where the tangent line is parallel to…

A: From the given data: x=1 x=4

Q: Find an equation of the tangent line to the graph of the function                    y = (cosh x −…

A: We first find the derivative at (0,1) to find the slope

Q: 5. Find an equation of the tangent line to the graph of f(x) = In (2x + 1) – e* at the point where x…

A:

Q: What is the derivative of * In(xy) = e"y – arccos(xy)?

A: We differentiate given equation

Q: 6) Find an equation of the tangent line to the graph of f (x) = 4 ln z at the point (1, 0).

A:

Q: b. Find the equation of tangent line to the curve of function f (x) at given point: y = In(x² – 4x +…

A: We have to find the slope of tangent first.

Q: Find an equation of the tangent line to the curve at the  given point. y = x2 ln x, (1, 0)

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 y2 ln(x) + x2y = 7 at (1, 7)

A:

Q: Find the equation for the tangent line to the curve at the given point. f(x) = ln(6esin(x) − 5) at…

A: We need to find the equation for the tangent line to the curve at the given point.

Q: Determine the equation of the tangent line to the function g(x) = (2ex)/x at the point, (2, e2).

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 an equation of the tangent line to the graph of the function at the given point. y = 4 − x2 −…

A:

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 equation of the tangent line to the function f (x) = e*²-1 ln(x + 1) when x= 0.

A:

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 an equation of the tangent line to the graph of y = ln(x2) at the point (3, ln(9)). y=_____

A:

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

A: Given: f(x)=e-xln(x)

Q: Find an equation of the tangent line to y = f(x) arctan(x) at = V3. x =

A: We have to find equation of tangent line

Q: Find an equation of the tangent line to the graph of f(x) = 2 + e1−x at the point (1, 3).

A: We have to find equation of tangent line to the graph of function fx=2+e1-x at the point 1, 3. We…

Q: Find the equation of the tangent line to the curve a(x) = 3 sin-x+ In(x² – 5x +1) – e**-6x at x = 0

A: Point -slope form : y-y1=m(x-x1) ; where 'm' is slope and (x1,y1) given point.

Q: 3. Find the siope of the tangent line that crosses through the point (3, 7) along the 2 curve f(x)=x…

A: Given :f(x)=x2-x+1

Q: The equation of the tangent line for the graph of Fx)= | Ln(P+4)dt at x=2 is F(x)=

A:

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

A:

Q: Find the slope of the tangent to the curve y=(cos 3x)/( 2-ln(2x+1) ) at x=0

A:

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: