c Implicit differentiation. 2,231 D c Ž Implicit dift. x' tye = 20 A Bys /...
Question 15 Use implicit differentiation to find if: x In(y + 2) + y2 = 0 дх Ay+2 + x2 y + x2 + x2 8.-(4+2) In(y + 2) x + y + y2 C. None of the answers D. (x + 2) In(x + 2) y + x2 + x2 E-(*+7+42 x + y2 + y2
doc d 1. Using Implicit differentiation derive the formula -(arcsin x) V1 - 22 2. Find the equation of tangent to the curve y = arccos(.x3 – 1) at the point (1,0).
5. Find den by implicit differentiation for the following. (a) 6x2 + 5y2 = 36 (b) 8x2 - 10xy + 3y2 = 26 (c) r4y+421-6y + 5 (d) + In y = x^y
Consider the following. cos(x) + y = 4 (a) Find y' by implicit differentiation. y' = (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. y' = (c) Check that your solutions to parts (a) and (b) are consistent by substituting the expression for y into your solution for part (a). y' =
Please answer them all..Thank you
< webwork / 20_su205_1xw / 3.5_implicit_differentiation / 5 3.5 Implicit Differentiation: Problem 5 Previous Problem Problem List Next Problem (1 point) 1 3x² + 3x + xy = 2 and y(2) = -8, find y' (2) by implicit differentiation. y (2) = Preview My Answers Submit Answers You have attempted this problem 0 times, You have unlimited attempts remaining. Email Instructor me version or < webwork / 20_su205_1xw / 3.5_implicit differentiation / 6 3.5 Implicit...
3. Use implicit differentiation to find dx at at the given point P. 7 tan^x + sinAy =* ;P (0,7) 4. At time t, the position of a body moving along the s-axis is s = t3 - 15t + 48 m. a. Find the body's acceleration each time the velocity is zero. b. Find the body's speed each time the acceleration is zero.
5. Evaluate the following differentials (a) det? (b) d sinh ở (c) dx sin (d) do y 6. Find the exact values of the following expressions. Justify your answers using the definitions of they hyperbolic functions. (a) sinh (In 3) (b) cosh (In 3) (c) tanh (In 3) 7. Suppose cos 2 + siny = 1 (a) Use implicit differentiation to find y' = dy. Simplify your answer as appropriate. (b) Use implicit differentiation to find y" dy. Simplify your...
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x2 + y2 = 25. 1. Given: thecircle 2. Find: Use implicit differentiation and find the derivative, y. You can use your book if need be. Relative to problem W1, put in slope-intercept form (that is, y=mx+b) the equation of the tangent line to the circle at (-4,-3). Find each of the following integrals. Be careful! fx-sax ( 10x ax (Note: 1/(x^2) - **(-2)) Sex - 7 Jax 170 - Jos Sex (10x dx Novo - xp]ox S[e*...
I) (a) Find the derivative: ( +1)(3x2 -88) (b) Use implicit differentiation to determine d from the Cobb-Douglass production equation 90x1/3y2/5432 (a) The width of a rectangle is increasing at a rate of 10 inches per minute, and the length is decreasing at a rate of 3 inches per minute. Determine the rate of change in area when the rectangle has a width of wdt hes and leng of 2o iches, is the ainreasing o decreasing? [Hint: Let w() and...
Q1. If g(x)=4cosx, then a) 4sinx b) -4 sinx c) -4cosx d) 4cosx Q2. The derivative of the function f(x)=-9x2 + 5x at x=-3 is a) -10 b) 41 c) 36 d) -49 x54 Q3. If g(x)= 3x +6x, *S*. then lim g(x)= =........ 8x+10, a) 48 b) 24 c) 72 d) 42 Q4. Find: lim (5+h)-25 Q5. Find: limano sin Q6. If y=x-*+cosx , then finden Q7. Using the definition, determine whether the function X57 is continuous at x=7....