42. f(x) = ;a = 2 %3D Зх— 1

Q: Find all points on the graph of f(x) = x +a where the tangent line is parallel to the line y = 28x.…

A: Consider the function f(x) = x3 + x Slope of the tangent to f(x) is the derivative of f(x). f'(x) =…

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A:

Q: For the following functions, find the indicated derivative. 1. y = 10x – 21x* +13x³ – 6x² +5x– 1000…

A: Derivative

Q: Find the point(s) on the graph of the following function where the slope of the tangent line is…

A: Here, the given function can be written as: f(x)=x+7x-7=x-7+14x-7=1+14x-7

Q: If the slope of the tangent line to the graph of y=f(x) at x=a is m(a)=2a+1, and fl-1)=2, then what…

A:

Q: 6. h(x) = 5cos(a)

A: Given function is hx=5cosx To find: Derivative of given function. Solution: Function is hx=5cosx…

Q: What is the slope of the tangent line that touches the graph of In(y) +e-=3y– 4x at the point A В) з…

A: slope , m=dydx.

Q: Given that the graph of f(x) passes through the point (3, 10) and that the slope of its tangent line…

A: Consider the given slope of tangent of the function at x,fx is 2x+6

Q: Find the derivative of the following function. 3x +8 h(x)%D xf +9 h'(x) =|

A: Derivatives

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

A: The slope(m) of the tangent line to the curve is nothing but the derivative of the function at the…

Q: Find the slope of the tangent line to the function: 4y 27 1 + х2 At point (1, 1) . 2.

A: Given:

Q: Find an equation of the tangent line to the graph of y = f 1 (x) at x = 3, where f(x) = x 4.

A: Given: f(x)=x4 at x=3  To find the tangent line of the given function at x=3

Q: For the function P(x) = x3 − 7x, at the point (2, −6), find the following. (a) the slope of the…

A: Instantaneous rate of change of function is slope of tangent at any specific point

Q: Find the equation of the line tangent to the graph of f at the indicated value of x.

A:

Q: Find the slope of the tangent to the graph of fAx) = x + 3x + x at its point of inflection. O a) -3…

A: SOLUTION-

Q: For the functiony =x2 + 3x + 9at(3, 1),find the following. (Give exact answers. Do not round.)(a)…

A: Given function y = x2+3x+9.The slope of the tangent line at a point(x,y)  is nothing but the value…

Q: For the function y = 6x² + 5x + 6, at the point x = 7, find the following. %3D (a) the slope of the…

A: a) To find the slope of the tangent at x=7, we need dy/dx at x=7

Q: Estimate the slope of the tangent line at the point t=−4, for f(t)=15t−6. (Give your answer as a…

A:

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: Find the slope of the line tangent to the given curve at the indicated point. a. f (x) = 3x + 10 at…

A: Given function,f(x)=3x+10,Aim:- To find the slope of the tangent of the curve f(x) at (-3,1)Let…

Q: Determine the equation of the line tangent to the following function at x = 5. f(x) = (x − 4)(3 −…

A: Slope of the tangent is the value of the derivative at the given point. So differentiating given…

Q: Find the equation of the line that is tangent to the graph of the functio f(x) = x+1 at the point T…

A:

Q: Compute the derivative pf the given function and find the equation of the line that is tangent to…

A:

Q: Find the point(s) on the graph of the following function where the slope of the tangent line is…

A:

Q: Find the derivative of the function .

A: The given function is  ft=t23-t13+4

Q: Find f'(x) and find the equation of the line tangent to the graph off at the indicated value of x.…

A: To find the equation of tangent line to the given curve at a given point, Obtain the expression for…

Q: If the slope of the tangent line to the graph of y-f(x) at x=a is m(a)=2a+1, and f(1)=5, then what…

A: m(a)= 2 a + 1 f'(x) = m(x) = 2x +1  Integrating f'(x) gives f(x); f(x) = 2(x2/2) + x + c f(x) = x2 +…

Q: Given that f(10)=10 and f′(10)=4, find an equation for the tangent line to the graph of y=f(x) at…

A: topic - equation of a tangent line

Q: Determine the value(s) of x for which f(x)=9x+8 has a horizontal tangent line.

A:

Q: What is the equation of the tangent line to the graph of f'(x) at x = 4, if f(x) = vx? O y = - + O y…

A: Topic:- application of derivatives and tangent equation

Q: Find the point on the graph of h(x) with the largest slope, that is, the (a) point where the tangent…

A: Given function is         h(x) = -3x5-5x4+20x3+60x To find the largest slope of h(x) at the tangent…

Q: find any x-values where the tangent to the curve is horizontal, where y=x^3-6x^2+9x+1

A: The given equation of curve is,

Q: Find the slope of the tangent line to the graph of the function at the given point. 4x? + 3y² = 36…

A:

Q: Determine an equation for the line tangent to the function at x-e. O Al y--) TT O B) y--) 1 (x -e)…

A:

Q: What is the slope of the tangent to f(x)=2^(x)+1 at x=2   e. 5.1 f. 1.5 g. 1.5 h. 2.8

A:

Q: Find derivative of the 6tanx following function d d.x

A:

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Given,           fx=x2-x4 ; x=1To find : Find f'x and find the equation of the tangent line at the…

Q: Determine the value(s) of x for which f(x) = 9x + 8 has a horizontal tangent line

A:

Q: 9. у %3 1og4 (2a — 1) (ӕ3 — 4г) — 4а)

A:

Q: What is the slope of the tangent line that touches the graph of Iny+e2x-1 = 3y – 4x at the point A 1

A:

Q: Finding derivative.

A: Given,

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: 1. For the function f(x) = 3x² + 8x – 7, (a) Find the slope of f(x) at x = 3 (b) Find equation of…

A:

Q: Find an equation of the tangent line to the function y = at the point; 0 P(2). (6) P(4)-

A:

Q: Let f(9)=−4 and f′(9)=−4. Then the equation of the tangent line to the graph of y=f(x) at x=9 is:…

A:

Q: Given that f(−5)=−10 and f′(−5)=−2, find an equation for the tangent line to the graph of y=f(x)at…

A: Topic = Functions

Q: State the derivative of the following functions a) y = -x* 2. b) y = c) y = 2cos(x²)

A: Authoring guidelines:…

Q: The slope of the tangent line to the graph of the function y = 4/T-6 at (36, 18) is | 0 36.00 O0.33…

A: slope is the first derivative of the function with respect to x.

Q: For the function y= In(x² – 2) , the slope of the tangent at x = 2 is

A: