Differentiate the functions stated in questions 1 to 7 with respect to x. 1. y= 3x +2- Vr 2. y=e2r, - 6x-1/3 3. y= (1+x) e* 4. y= x- 2 x + 1

Q: QUESTION 7 Evaluate 3x5 3x4+6x³-3x² - 6x x²-2x-In O x²-4x 2 O x²-4x 2 O rẻ-2r 2 [(x-1) 1/6(x+2) 16/3…

A:

Q: Зх+1 a) y =- 1 b) g(x)= Vx -

A:

Q: 1. a) Find the successive derivatives of the following functions: (x' +80x²)* ii) Z (x* +10x +20) 21…

A:

Q: Find derivatives of the following functions: y= (4x + 3)/In[2x* +3x -s] y= 3(e" +e*Xx² - 4)

A: ANSWER :

Q: 1. Find the function whose derivative is XV X xª – 1

A: We need to find a function whose derivative is 1xx4-1

Q: 3. Verify that the following functions are solution of one of the equations in part 1 and match the…

A:

Q: D Question 5 Find the derivative of -2x f(x) = x f'(x) = -2x²e-2x (E) None of these f'(x) = e-2x…

A:

Q: Which of the following graphs (a)-(d) could represent an antiderivative of the function shown in…

A:

Q: _y = In(e6x) бх

A: We have to find out the first derivation of given function

Q: many

A:

Q: 1 dt. o t4 +5 Let f(x) = Find the derivative f'(x). none of the choices ex e2x

A:

Q: Question 24 Calculate the third derivative of the function y= xe. A 4e2(x+ 3) B 2e(2x + 3) ©2e2(x +…

A:

Q: Question 5 Determine the derivative of the given function: y = 5-2 Oy = 5"-2 (In 5)(x - 2) Oy = 5-2…

A:

Q: 1. Find the derivative of the following functions at an arbitrary point x: 8 a. f(x) = x3/2 b. f(x)…

A:

Q: 1.Find the derivative of the following functions. 2 a) F(x) = ²* 5 √t³ + 8dt et -dt et +3 b) G(x)=…

A: Topic:- application of integration

Q: Compute the derivative of the following: 3 +. 2.1x 5 g(x) =, 4.

A:

Q: Find derivatives of the functions defined as follows:

A: Given: fx=ex3x+2

Q: 8. Which of the following functions has a hole at x = 5? x-25 a. X-5 fx) = C. Ax) = %3D 2-25 d. Band…

A: As per Bartleby's answering policy, we cannot answer more than one question. So kindly post the…

Q: IN QUESTIONS 1-9, FIND THE DERIVATIVE. 1. y = 5x-9x³ + 7x 2. f(x) = 4x5-5x-6x+10 4. у 3 x2 6. y = Vx…

A: From the given problem:   1.   y=5x4-9x3+7x   So,   dydx=ddx5x4-9x3+7x=ddx5x4-ddx9x3+ddx7x...From…

Q: c) h(x) =(5x-1) 12x² – 6 d) m(x) = (4x² – 9x} %3D

A:

Q: Question 11 * 4+e¬x is: x²+2x The derivative of the function y = -e-* a) у' 2x+2…

A:

Q: Given the function y=sinx-2 for 0°<xS180° 5.4.1 Draw the graph on its own system of axes on the…

A: According to question,Given function,y = sin x -2,where,0o ≤ x ≤ 180o,

Q: A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue…

A: Let's find.

Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x?y") +…

A: The objective of the question is determine the nth derivative of the given equation.

Q: In Figure 1.6, suppose another Y observation is obtained at X = 45. Would E{Y} for this new…

A:

Q: The first derivative of the given function is y = In(1 – 2x)³(2x + 1)? 10x+1 2x+2 1-4x2 1-4x2 20x+2…

A:

Q: 5) Use the table given to compute the following derivatives. 1 2 3 4 f(x) 1 f'(x) 3 -5 -9 -10 g(x) 4…

A: topic. - functions and derivatives

Q: Find the first derivative for the following function. g(x) = 4e3x*+2x %3D A. g'(x) = 4e3x*+2x +…

A: Given function: gx=4e3x5+2x Differentiate the above function w.r.t 'x' g'x=ddx4e3x5+2x

Q: Given the function y=(2x+1)3(x−1). Find all derivatives of the nth order from n=1 to n=5.

A:

Q: Find the first and second order derivatives of the following function: In(Tx) q(x) = + (Tx +…

A:

Q: Question 2. Find the critical points of the function g(x, y) = x²y + 4xy.

A:

Q: 1. x³ V1 – x2 In x +3' 2.

A: (1).   The given function is: f(x)=x31-x2

Q: Find derivatives of the functions defined as follows:

A: Given that : The function is y = tet + 2e2t +1 .

Q: Question 49 Evaluate the first derivative of the implicit function 4x + 2xy + y². O A. - (4x - y)…

A: given function 4x2+2xy+y2=0Implicit dervative

Q: Consider the graph of the function given in the image: Knowing that L {x (t)} = X (s). Find X (s)…

A:

Q: The derivative of the function y = In (* + 1) (* - 1) is O y = O y = :- - 1 e+1 + -2 +1 ||

A: Question is solved.

Q: 32. Differentiate the following function with respect to y. e + 3º = 1

A: This is a simple differentiation problem

Q: 2. Find the derivatives of the following functions as specified: a. h (2) = (9z +4), b. g (x) = (æ²…

A: I am attaching image so that you understand each and every step.

Q: Find the first and second order derivatives of the following function: In (25x)-a* q(x)=…

A:

Q: Question 36 Evaluate the first derivative of the implicit function 4x- +2xy +y OA (4x-y)/ (x + y)…

A:

Q: 5 Find 은 for y= |(*+2)°dt Choose the correct derivative below. O A. 원-40 (x*+2)기| 5 O B. - (* +2)*…

A: Given:y=∫0x t4+28 dt5

Q: Which of the following functions would produce a derivative containing an x 5/3 term? O a) y = x 8/3…

A:

Q: 11. 5 4 Determine the derivative of y=x° – x* + 6. - Enter your next step here dy ab a + JT 00 () dx…

A:

Q: 9. The derivative of the graph x+y² D5 with respect to time is c-2y+ 20 C. a. y +x d. -y 2x +2y

A: Q 9 Given that: The graph: x2+y2=25

Q: Find the second derivative of each of the following functions. s=1/2t-1 y=x2tan2(3x

A:

Q: Find the first and second derivatives of the given function. f(x) = e ×(1 + 4x)2 Calculate f'(x).…

A: Given: fx=ex1+4x2

Q: Question 21 Evaluate the first derivative of the implicit function: 4x2 + 2xy + y² = 0 4x +y (A x +y…

A:

Q: Find the first derivative of exte-2 y = = ܘ ܘ e+ܫܐܕ 2k+e ye+e 2 ܪܢܐ e+e 2 ܢܐܨ ܐ e+e

A:

Q: Question 18 Evaluate the first derivative of the implicit function: 4x2 + 2xy +y = 0 4x +y A X+y 4x…

A: