Find the slope of f(x)=3x−2 at (4,10).

Q: y = V4+3Vx

A: Derivatives

Q: Use the Chain Rule to find the derivative of the function. y = (2x² - 9)3

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Q: 9x3 + 7x + 1 y = 2х — 1

A:

Q: Find the slope of the line tangent to the graph of ye* = y2 + x – 6 at (0, 3).

A: Given query is to find the solpe of tu tangent line at indicated point.

Q: Find the derivative of the function y=2x1−x2.

A:

Q: What is the slope of the tangent line of y = 3x- 2x2 + 2x -5 at x = 0? A. 2 B. -5 C. D.

A: Given equation of the curve is y=3x3-2x2+2x-5   x=0 find slope of the tangent

Q: Find an equation of the curve that passes through the point (0, 2) and whose slope is xy?

A:

Q: Find the derivative of the function y=1x+2x2+3x3.

A:

Q: 5 X y = (2x² – 3)

A: given y=x5(2x2-3)we need to find the derivative of the given equation

Q: Find the slope of the line normal to the curve y = x³ - 2x +1 at x = 2 -

A:

Q: Find the derivative of the function. y = (2x – 5)*(8x² – 5)-3

A: Derivative denotes rate of change. According to product rule, ddxf(x)g(x)=ddxf(x)g(x)+ddxg(x)f(x)

Q: Find the slope of the curve 1 at the point P (2, ;).

A: Explanation of the answer is as follows

Q: Find the derivative of the function. y = 3√(6x2 + 1)

A: y=36x2+1

Q: Find the derivative of the function: y= 3x²e¬*

A:

Q: Find the slope of the curve x²+y²-6x+10y÷5=0 at point (1, 0)

A:

Q: The slope of the curve y- xy- 3x = 1 at the point (0, -1) is а. 1 с. -1 b. 2 d. -2

A:

Q: Find the derivative of the function y=32x3√x.

A: Given- y=32x3x To find- The derivative of the above function. Formula used- Using the product rule…

Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

Q: Find the point on the line y=5x+3 that is closest to the origin (x,y)=(______)

A: Let (m,n) be the point on the line which is closest to the origin.Put n = m, y = n, in y = 5x + 3…

Q: Find the derivative of the function. y = 3elx2 + 8)3

A:

Q: Find the derivative of the function. y = (2x − 7)3

A:

Q: Find the derivative of the function. y3x°-13x +35x+8 y': = D

A: y = x3 - 13x2+35x+8

Q: 1. What is the instantaneous slope of y = 5 at x = 5?

A:

Q: How fast does the  slope of the curve y= (x2+x+1)2 change at the point where x=2

A: First derivative of a function represents the change in function or slope of the function and second…

Q: Find the slope and equation of the line tangent to f (x) = x2 +9 at the point (1, 10).

A:

Q: Find the derivative of y = (7– 6x4)*

A:

Q: Use the Chain Rule to find the derivative.

A: Given expression

Q: Find the derivative of the function y=3x3.

A: we have to find the derivative of y=3x3

Q: ) Find the slope of the curve x +y3- 6x²y = 0 at x = 1

A: Slope of a curve: For non- linear functions, the rate of change varies along the given curve. So,…

Q: Use the implicit to find the slope dx of the given function y2 - x3 = 41 at (2,-7)

A:

Q: Find the second derivative of the function. y = (8x + 5)3

A: Given: y=8x+53 The power rule for derivatives is expressed as ddxxn=nxn-1…

Q: Find the derivative of y = 3ln(4x – 7)

A:

Q: Find the derivative 1. y = Vx² – 5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Write the equation of the line tangent to f (x): x2 – 3x + 5 at the x

A: To find an equation of the tangent line of f(x)  at the point x=0

Q: Find the slope of * y+ Vx+ y =x at (3,1)

A: A detailed solution is given below

Q: Find the derivative of the function y=5x3+3−2x3+3√x5.

A: To Find: Derivative of function   y=5x3+3-2x3+3x5.

Q: 14. Find the slope of the curve y = 2x3 – 3x at (-1 , 1)

A:

Q: Find the derivative. y = x² + 8x +5

A: Differentiate wrt x

Q: What is the slope of the curve y = 1 + x^2 at the point y = 10?

A: We will solve the following

Q: Find an equation of the curve that passes through thepoint (0, 1)and whose slope at (x, y) is xy.

A: To Determine: Find an equation of the curve that passes through the point (0, 1)and whose slope at…

Q: Find the derivative of the fractional function y=2x+1x3.

A:

Q: Find an equation of the line that is tangent to f(x)= x^3+2 and parallel to the line 3x-y-4=0

A: Given f(x)=x3+2

Q: Find the derivative: y = (3x² – 2x) Væ5 – 2x + 2 %3D

A:

Q: Find the derivative of y = (x² + 4)²(2x³ – 1)³

A:

Q: Find the derivative of the function. y = x3 - (x2)/(28) +8x + 5

A: The given function is: y = x3-x228+8x + 5 The derivative of xn is given by: dxndx=nxn-1 And, the…

Q: Two is the slope of the curve y = 4x + x2 at what point?

A: Slope of a curve is given by m=dydx  Use this formula to solve above question.

Q: Find the slope of the curve x3y3 + y2 = x + y at the points (1, 1) and (1, -1).

A: Given,