I. USE FOUR STEP RULE OF DIFFERENTIATION I. Solve the following using the formulas used in Differentiation 1. y = 5x7

Q: given the function flx) =x² - 3x + 1. Use this function to find The equation of the tangent line to…

A:

Q: For the given function, find the first derivative f' f(x) = e* · (3 sin x + cos x) + 4x3

A: Differentiate both sides of the equation, with respect to x using the product rule of derivative to…

Q: Use the rules of differentiation to find the derivative of the function. y = sin(0) -11 2.2.025.

A:

Q: Find the given derivative. 1 D 2x 3 DX 2x 5

A:

Q: Find the equation of the line that is tangent to the graph of the function f(x) = ln(8x + 6) at the…

A:

Q: Using implicit differentiation, for the equation æ5 +y = 14 is

A: Here we have to find the differentiation of given function.  The solution is following.

Q: 1. Find and simplify the indicated derivative: (a) D: [e¯t sin(2t)]

A:

Q: h(x)= cot r11- tan"x

A: Given, hx=cot-11x-tan-1x We have to find h'x.

Q: y². у? — 123 8y

A:

Q: Using implicit differentiation, for the equation z + y = 9 is,

A:

Q: Solve the following using the formulas used in Differentiation y = - 4 x3 y = 4Vx5

A: the given function is y=-4x3 use the formula d(ax)dx=adxdx ddxy=ddx-4x3=-4ddx1x3=-4ddxx-3 use the…

Q: dy Find using implicit differentiation, for the equation a + = 11 is. da

A:

Q: Find an equation of the tangent line to the curve at the point (1, 1). y=ln(xe^x^9)  (e is raised…

A:

Q: Y = (cot x)3x² 3r2

A:

Q: Use the rules of differentiation to find the derivative of the function

A: First note the following rule of differentiation (f(x)+g(x))'=f'(x)+g'(x). Another rule that will be…

Q: First compute y' and y" by implicit differentiation. Then solve the given equation for y, and…

A: xy=y-2

Q: y = 6+4 Vx csc x

A: Topic = Derivative

Q: 6. Use the rules of differentiation to find the derivatives of the following functions. Do not…

A:

Q: xV3+x* 54. y = (4 + x*) 55. f(x) = (1+x)(1+2x)(1+3x)(1+4x)

A:

Q: Using implicit differentiation, for the equation z° + y° = 9 is

A: The given function is: x6+y6=9

Q: Find the second derivative of the following equations using implicit differentiation: 5e 1. 5 = e…

A:

Q: Find by implicit differentiation, and evaluate the derivate at the given point. dx 4. x3 - y? = 0 5.…

A:

Q: 1 f(y) = y² )(y + 5y³) y4,

A: let us simplify function firstf(y)=(1y2-1y4)(y+5y3)=(y2-1y4)(y+5y3)=y3+5y5-y-5y3y4=5y5-y-4y3y4it can…

Q: Use the method of implicit differentiation to solve the equation for dy/dx: x^3y^2+1 = 2xy

A:

Q: . Find the derivative of the following functions and simplify the answer: ly = 4x² cos x- 10x sin x…

A:

Q: 2n 5) h(x) = tanx, x = 3

A:

Q: Find an equation of the tangent line at the point indicated: f(x) = ln(x²), x = 4.

A: NOTE: Refresh your page if you can't see any equations. . here we have x=4 so the point on the…

Q: 9. Take the derivative of the following function and simplify/factor: h(0)= 40² - sin 30

A:

Q: Using the definition of the derivative, find f'(x) for the following function. 4. f(x) = - x2 + 8x -…

A:

Q: Determine the following using the equation 2xy3- 4x3/2 +2 = 0 a) Use implicit differentiation to…

A:

Q: dy Find using implicit differentiation, for the equation a + y = 7 is dr

A: We can find the correct option as below.

Q: b) Use implicit differentiation to find for the equation yz? -e** cos (4zx)–3y² =4. F. DO NOT use…

A:

Q: 5. y = xArctanx - In V1+x

A:

Q: 3x² + 3 = In 5xy² 2

A:

Q: Use the rules of differentiation to find the derivative of the function. TT :는 cos(8) 5. y =

A:

Q: 1. y, x= 1+ 1+y

A:

Q: 14. y = a' + cos'r

A:

Q: e 2x sin(2x + 5y)

A: e2x=sin2x+5y

Q: 4. Use three strategies to find in terms of x and y. dx 3x? Given: Strategy 1: Use implicit…

A:

Q: Find the equation of the tangent line of the function at the given point. 9. f(x) = 3x+2 (0,-2) x-1…

A:

Q: Find the derivative of the function. (®) = cos(6?) f'(0) =

A:

Q: Solve for the derivative of the following and simplify if possible. f(x) = 2 cos x - 6 sec x + 3

A:

Q: Find the indicated derivative. for p = da 1-9 dp dq

A: We find the derivative dpdq of the given function p by using quotient rule and chain rule of…

Q: • Find a formula for the nth derivative of y = 47ª, telling me how you decide what to do at each…

A:

Q: 2. Use the logarithmic differentiation to simplify completely before finding the derivative.…

A: As per our company guidelines we are supposed to answer ?️only first question. Kindly repost other…

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

A:

Q: Find the derivative of the given function 1+ sin(3 f(x) = ( V + 1

A: To find the derivative of the given function  Use formula of  Derivative of u/v  = { u'v - u v' } /…

Q: Solve the following using implicit differentiation.     sqrt(x+y) = y2 + x2

A:

Q: Use the rules of differentiation to find the derivative of the function                     g( ) = 4…

A: g(x) = 4cosx +6 dg(x)dx = d(4cosx+6)dx             = d(4cosx)dx + d6dx…