Find an equation of the tangent line to the graph of the function at the given point. f(x) = e* In(x), (1, 0) y =

Q: 3. Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: Given  function

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 7 Ine* +…

A:

Q: Find an equation of the tangent line to the given curve at the specified point. = (1, e) X y =

A:

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

A: To find the slope we find y' at x=2 and y=1 so the slope is 2

Q: 16. Find the equation of the tangent line to the curve y = e* at the point (a, f(a)) when a = In 3.

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: 21. Find an equation of the tangent line to the graph of f(x) = x² - 2x at (a) (–2, 8); (b) (1, –1);…

A: fx=x2-2x

Q: 52. Find an equation of the tangent line to the graph of y = 4x/(1 + x²) at (a) (0,0); (b) (–1, –2).

A: Given- y=4x1+x2 To find- The equation of the tangent at the point a 0,0 and b=-1,-2. Identity Used-…

Q: Find the equation of the tangent and normal line of the function y³ + 3xy + x* = 5 at the point (1,…

A:

Q: Provide the equation of the line tangent to the given function at the specified point g(x)=ln(x^2);…

A: Given : gx = lnx2

Q: The equation of the tangent line to the graph of f(x)=ln|x at x = -2 is v=²(x+2)+n2 (a) TRUE (b)…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point , f(x) = e3x,…

A: Equation of the tangent line: y - y1=m(x - x1) m=f'(x)

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: 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: Find the slope of the tangent line to the graph of the function at the given po y = e 5x y (0, 1) -2…

A: Given curve y=e-5x, point 0,1. Differentiation with respect to x we get…

Q: 1. Find the equation of the tangent line at the given point. f (x) = e3x-x², (3,1)

A: We have to find

Q: Find an equation of the tangent line to the graph of the function  y = log3 x, at the given point…

A: y = log3 x

Q: Find the derivative of the function y = In(8 – e-a f'(x) =

A: We have to find derivative

Q: Find an equation of the tangent to the curve  y= x ln x at the point (e ,e )

A: Given: y=xlnx, e,e for finding equation of tangent, we need slopem of tangent at given pointe,e we…

Q: Find an equation of the tangent line and normal line to the curve at the given point for the…

A:

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

A:

Q: 8. Find the equation of the tangent line to the curve y = e* at the point (a, f (a)) when a = In 3.

A:

Q: 2 Find an equation of the tangent line to the curve y at the point(0,1). (1+e¬x)

A:

Q: Obtain the derivative of the function y y = (e*1) (In(2cos(x² – 4x))

A: The given function is: y=e3x+1ln2cosx2-4x

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

A:

Q: Find an equation of the tangent line to the graph of y=e^-x^2 at the point (2,1/e^4)

A:

Q: 7. Determine the equation of the tangent to the function E-2 f(x)=- at x= 1.

A:

Q: Find an equation of the tangent line to the graph of y = e−x2 at the point 4, 1/e^16

A: Given curve

Q: Find the equation of the tangent line at the given point on each curve. ln(x + y) = x3y2 + ln (x2 +…

A: The equation of the tangent line at the given point (x1,y1) is y=mx+b where m is slope m=dydxx1,y1…

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex3 −…

A: We have been given a function g(x) and we need to find the equation of tangent line to the graph of…

Q: Find an equation of the tangent line to the graph of the function f(x) = e6x, at the given point (0,…

A:

Q: 1. Find the equation of the tangent line at the given point. f(x) = e3x-x², (3,1)

A:

Q: Find the derivative of the function y = 0.5 In (e +1).

A: See answer below.

Q: Find the slope of the tangent line to the exponential function at the point (0, 1). y 2 1 (0, 1) -2…

A:

Q: Find an equation of the tangent line to the graph of  y = e−x^2 at the point (4, 1/e16).

A: Slope of tangent line is equal to value of the first derivative of y at given point.

Q: The third derivative of the function y = e2a with respect to x is

A: I am going to solve the given problem by using some simple calculus to get the required result of…

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

A:

Q: Find an equation for the tangent line of e + 2xy = 2x – 1 at (1,0).

A: Topic- application of derivatives

Q: 1. Find an equation of the tangent line to the graph of the function at the given point. f(x) = Inx*…

A: We have to find out the equation of tangent line

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A:

Q: 2. Find the equation of the tangent line to the graph of f(x) = 3x?e-1 - 1, at r = 1.

A:

Q: 1. Find an equation of the tangent line to the graph of y = In (x² – 3) + e²-* at the point (2, 1).

A:

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

A: Given,     f(x) = ln(9(x+4)/x); (-9/2,0) Let m be the slope of required tangent line.

Q: 1) Find the equation of the tangent line and normal line to the graph of the function y=x√√x-1 at…

A: As we know that; The expression for the equation of the tangent line is: y-y0=mx-x0 Where m is the…

Q: Find the equations of the tangent line and the normal line to the graph of the equation at the…

A:

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 an equation of the tangent line to the graph of the function at the given point. y = x2ex −…

A:

Q: f(x)=e*(7x' – 5x² + 2); at x =0

A: Given function: f(x)=ex(7x3-5x2+2) To find the equation of tangent line , find out slope at x=0…

Q: Find an equation of the tangent line to the graph of the function at the given point, y = e3x−x2,…

A: Given equation: y=e3x-x2 The equation of the tangent passing through the point x1,y1 on the curve…

Q: 1. Find the equation of the tangent line to the graph of f(x) = x?e-* at x = 1.

A: