4. Write an equation of the tangent line to the graph of f (x)=3x+8x at the point where x= 9.

Q: -2- Write an equation for the tangent line at x = 3 of the curve : 1 f(x)= /2x+ 3

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Q: Find an equation of the line L tangent to the graph of f(x) = 8x +1 at x = 1/2.

A: Calculate the y-coordinate of the point where the tangent has to be drawn. Substitute 12 for x in…

Q: The slope of the tangent line to the graph of the function y = 7V-3 at (9, 18) is

A:

Q: 3. Determine the slope of the tangent at x = -1 on the graph f(x) = (5x² + 1)3.

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

A:

Q: Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has…

A: Solving

Q: Find the equation of the tangent line to the graph of f(x)=6xln(x+8) at x=-2

A: Given equation: To find the slope of the tangent line, find the value of the function's derivative…

Q: 4. Write an equation for the line tangent to the curve f(x)=" In(3x) -at x=1

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Q: Find the slope-intercept equation of the tangent line to the graph of f(x) =√x at (1, 1).

A:

Q: Find the equation of the tangent line to f(x)=5+2x  at  a=2.

A:

Q: Find an equation of the tangent line to the graph of f(x) f(x) = 1/√5x at x = 9.

A: Given equation of curve

Q: Find the slope of the line tangent to the graph of f(x)=4x^2 +2x +1 at x=1

A:

Q: Find the equation of the tangent line to the graph of f(x)=2xln(x+8) at x=6.

A: Equation of the tangent line to the curve y = f(x) at the point (a, b) will be given by(y - b) / (x…

Q: Find the slope-intercept equation of the tangent line to the graph of f(x)=√xat (4, 2).

A: fx=x    at 4,2 slope intercept equation:y=mx+cNow we find slope…

Q: Find the equation of the tangent line to the graph of the function f (x) = /4x³ + 5 at the point…

A:

Q: Find the equation of the tangent line to the graph of the function f (x) = (x2 +8) (x - 3) at the…

A: Given : f(x) = (x² + 8)(x - 3) at the point      (1, -18)

Q: Find the equation of the tangent line to the f(x) =4 + 4x at a=2

A: As we know that tangent is a straight line. And also that tangent of a curve or a line is have…

Q: 5. Find the equation of the line tangent to the graph of f(x)= 2x' +4x² – 5x– 3 at | x = -1.

A: f(x)=2x3+4x2-5x-3diff w.r.t xf'(x) =6x2+8x-5now substitue x=-1f'(-1)=6(-1)2+8(-1)-5f'(-1)=-7slope of…

Q: Find the slope-intercept equation of the tangent line to the graph of f(x) = x2 at (-3, 9).

A: Consider the following function: fx=x2 Differentiate fx with respect to x: ddxfx=ddxx2f'x=2x…

Q: At what point on the graph of f ( x ) = 2x 3 - 3x 2 - 8x is the tangent line equal to 4?

A: Given that: fx=2x3-3x2-8x To calculate the slope of the tangent line of given function,…

Q: Find an equation of the line tangent to the graph of ƒ(x) = (2x - 1) (x + 4) at (1, 5).

A: To findEquation of the line tangent to the graph y=(2x-1)(x+4)  at (1,5)⇒y=2x2+7x-4.

Q: Find the equation of the tangent line to the graph of f(x)=4x^3 + x^2+9 when x=-2

A: The objective is find the equation of the tangent line to the graph

Q: find the equation of the tangent line to the graph of f(x)=x^2(x^1/2 +1) at x=4

A:

Q: 18. At what point on the graph of f(x) = 2xe" is the tangent parallel to the line with equation y=…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the equation of the tangent: f(x)=4x-8√x at x=16

A: Solution

Q: y=x²-2xe*+2le

A: Given: y=x2ex-2xex+2ex &  Px,y=1,e  As we know that; The slope of the tangent line to the curve…

Q: 1. Find the slope of the line tangent to the graph of f (x) = x³ In (x² – 5x + 7) at x = 2. - Do NOT…

A: We have to find slope to given equation by derivative.

Q: II. Find an equation of the tangent line to the curve of f(x) =-2x' +6x+1 when x 23

A:

Q: 4. Find the slope of the line tangent to the graph of 1 f (x) = 2x4 – 32x3 + 17x2 – 9x + 4 at x 2 -…

A:

Q: Find the equation of the line tangent to the graph of f(x)=(lnx)^2 at x=3.

A:

Q: 4. Find the slope of the tangent line to the function f(x)= +3; x+2 at x = 4 5x-10

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Q: 42. At what point on the graph of f(x) = -5x² + 4x – 2 is the slope of the tangent line 6?

A:

Q: Find an equation of the tangent line to the graph of f(x) = x2 when x = −2.

A: Given function is fx=x2 To find: The tangent line to given graph when x=-2. Solution:…

Q: 3. If f(x) = 5x - 8x, find the equation of the tangent line to the curve at the point where x= 2.

A:

Q: (4) Find the equation of the line tangent to f(x) = 12√ - 2² at the point (4,8).

A:

Q: Find the equation of the tangent line to the graph of f(x) 1 at x = -2. x+6

A:

Q: b) Determine the equation of the tangent line to the grap f(x) = 2x² – x + 5 at the point where x =…

A:

Q: find an equation of the tangent line to the graph of f(x)= 5x^2-7 that is parallel to the line…

A: The general equation of line in slope intercept form is y=mx+c where m is slope and c is…

Q: Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has…

A: To write an equation of the tangent line to the graph of, y=fx, at the point on the graph where x…

Q: Find the equation of the line tangent to the graph of f(x) = ₂ at x = 3.

A:

Q: Find the equation of the line tangent to the graph f(x) = – at the point (4,1).

A: Given:            fx=4x To find the slope of the tangent line, find the value of the derivative of…

Q: 8) Find the equation of the line tangent to the graph of f(x) = x – :- at the point where x = 1.

A:

Q: Find the equation of the line tangent to the graph f(x)= (lnx)5 at x=5

A: First find slope then use equation of tangent tangent line

Q: At what point on the graph of f ( x ) = 2x 3 - 3x 2 - 8x is the slope of the tangent line equal to…

A: The function is f(x)=2x3-3x2-8x and the slope of the tangent line is given as 4. By definition, the…

Q: What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=O?

A:

Q: Find the equation of the tangent line to the graph of f(x)= (x/x+3)^3 at x= -2

A:

Q: Find the equation of the tangent line to the graph of f (x) = 9x3 - 5x at 13. the point x = 1.

A: Given function is We know that slope of tangent to the curve y=f(x) at point x=a is f'(a) so, slope…

Q: Find the equation of the line tangent to the graph of f(x) = (In x)* at x=7.

A: Slope is evaluated by differentiating f(x) wrt x at x=7 . Also f(7) is evaluated. Write equation of…

Q: 1. Find the equation of the tangent line to f(x)= 4x2 - 5x+2 at (-1,11).

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