3 The chain rulen line of y = (3x - - Differentiate. (find the derivativ 4....
please show steps on how to solve. x2 Differentiate. Find y' for y= 2 - My - 12x2 + 6x O A. y'= (3-4x)2 4x3 - 8x² + 6x B. y'= (3-4x) - 4x2 + 6x *c. y'= 13-4x) - 3x OD. y'= - (3 - 4x)²
5. Suppose that the line tangent to the graph of y = f(x) at x = 3 passes through the points (-2,3) and (4, -1). What is the equation of the line tangent to f(x) at x = 3? (1) y=x+ (3) y = -x +5 (1) y= {x +3 (2) y 6. Let f(x) = 7 sin(x + 7) + cos2x. Compute f(13)(O). (1) 8 (2) 7 (3) -8 (1) -7 ----- 7. Differentiate f(x) - 1.6+3 Vã+1 (1)...
Differentiate the function ??(??) = ??4 ln(5??) + ln ( 3??+2 2??−3 ) 3x+2 Differentiate the function f(x) = x4 ln(5x) + In 2x-3 For full credit show each step. You do not need to simplify the answer. (10 points)
Find an equation of the line that is tangent to the graph of f and parallel to the given lineFunction: f(x) = x^3Line 3x-y+1 = 0._.; I know the derivative of the function is 3x^2 and I do have the answer in the back of my book just need the way to get it..
Question 2: Find for the following functions: (1) y=-42x2-3x -! 7x? -5x + 9 (3) y= x+5 (5) Y= 7+3 (y = (3x* + 3x + 2)(x+1) (7) y =(5x + 7x) Page 1 of 2 Question 3: (0) Find the slope of the graph of y=f(x) = 3x - 6x +1 at the point (2,1) (ii) Find the equation of the tangent line to the curve y = f(x) = x*-10x2 + 9 at x=-1 (iii) Find the equation...
3. What point on the line y = 7 - 3x is closest to the origin? a. Sketch the line carefully and mark the point on the line that you think is closest to the origin. b. Write the distance between the origin and a point (x,y) in the plane. If you don't know, think of a triangle with base x and height y. 8 7 6 c. The point must be on the line, so you can write the...
# 2,3,4,7, 10,11,15,18) Differentiate the function: #2 f(x) = ln(22 + 1) #3 f@) = ln(cos) #4 f(x) = cos(In x) #7 f(x) = log2(1 – 3x) #10 f(t) = 1+Int #11 F(x) = In( 3+1") #18 y = (ln(1 + e*)] # 23) Find an equation of the tangent line to the curve y = In(x2 – 3) at the point (2,0). # 27, 31) Use the logarithmic differentiation to find the derivative of the function. # 27 y...
1a. Find the equation y-f(x)-f'(x.)*(x-%) of a tangent line to the graph of a polynomial function f(x) -2xN4-x+3 3x^*2 at the point x, -1. (See the files Derivatives.doc and Derivatives of a power function.doc) N-16 1 b. Find the equation y-f(xi)-f'(x.)*(x-%) tangent line to the graph of a function of a f(x)-4x atx, 2. (Use the chain rule of differentiation for finding f'(x,).)
y^2-3x-4y-1=0 3. Find the equation of the tangent line and the equation of the perpendicular line to the curve y? - 3x - 4y - 1 = 0 at (-2, 1) at the given point. 2 marks.
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...