4. If f(x) = 23x1, what is f(-1)? а. 16 b. 1/16 с. 8 d. 1/8

Q: Q1) The dervative of the function f(x)= |x+2, using the definition of derivative is 1 b)- a) x+2 x+2

A:

Q: 15. The constant of proportionality involved in the direct variation of b with c, is 1.2. What is…

A: In this question, c is independent variable where as b is dependent variable. Given, b is directly…

Q: The derivative of the function y= (z+7x)5 is O 5(2 + 72) (3z?+7) O 5(7 +7x) (3x² + 7) O 5(r +7x)*(3²…

A: Topic- derivative

Q: Suppose s (x)= - 2(1– 5x)3 What is the correct result of the derivative of g with respect to x? 45 A…

A:

Q: For the pair of functions, find the derivative of the composite function  k(t(x))  in terms of one…

A:

Q: 8. the second derivative of f(x) =3e^5x , is а. 15е^5х b. 125e^5x с. Зе^5x d. none of the other…

A:

Q: For which value(s) of x does f(x)=8x3/3 +5x2 −10x+15 have a tangent line of slope −7? If there is…

A: We have been given a function and we need to figure out the x coordinates of the points where…

Q: Which among the choices has the first derivative that is e (2x+1) (x +3) ? Of(띠) 3D + 글z2 + 2x-8 O…

A: given function has first derivative is f'x=2x+1x+3    f'x    =2x2+7x+3

Q: Solve for the derivative of the following composite functions. f(g(x)) = (x+ 4)* 2 f(9(x)) = (2x2 +…

A:

Q: 4. Compute the derivative, r'(t), of r(t) = (2t°, v2t, 2 –t=2).

A: As per our guidelines we can solve only one question at a time. Please repost unsolved question…

Q: 5. If f(x)= 5x² + 2x+1 is an invertible function, find the slope of the tangent line to f^(x) at the…

A:

Q: if f'f′ is the derivativeof ff with 2∫1f'(x)dx=10∫12f′(x)dx=10 and f(2)=4,f(2)=4, then f(1)

A:

Q: .  If y is inversely proportional to x, and if y = 16 when x = 5, find the constant of variation

A: Given: y is inversely proportional to x y=16 when x= To find the constant of variation

Q: 9(X)=e²=0

A:

Q: 10. Find the derivative of y = V3x + 2. c) d) 3x a) 2V3x+2

A: Using derivatives

Q: If f(x)=Vx³-6x +12, then what is the derivative of fat x-1? Round to the nearest tenth. Selected…

A:

Q: Suppose that an lowa class battleship has mass around 52,000 metric tons (52,000,000 kg) and a…

A: Assume that the ship loses power when it is moving at a m speed of 8 m/s. a. We have to find about…

Q: What is the derivative of y = √5x² + 3x + 2 where x = 1? O no correct answer O2.054 O 2.057 O2.056 O…

A: The given equation is y=5x2+3x+2 where x=1. Find the derivative of the given equation. Here we use…

Q: 15 Suppose that y is directly proportional to x. When x = 8, y = 4. Find y when x = 30. %3D

A:

Q: Use the Mean Value Theorem to prove that the equation 0=t^8+3t^2−5t+7 has no more than two…

A:

Q: What is the derivative of the function f(x) = e^(2x-3) for x=2 using the back difference method with…

A: Backward difference  First derivative :   when error O(h) . First derivative :   when error .

Q: 15. Suppose y is directly proportional to x and y = 20 when x = 4. Find y when x = 22.

A:

Q: Q2: - Find the second derivative of the following function at x = 2 15 marks 1) y=+ V 2) y 3 (x +)…

A:

Q: 13. In y = what is the derivative of 2x2 +3? x+1 a) 2x b) 4x c) 4x +3 d) 7

A:

Q: nd the derivative of the function. (6 – x)5/4' x4/5 y = In

A: We will find the derivative.

Q: 27. The first derivative of y = is (4x+1) -24 b. 24 C. -6 6. (4x + 1)+ (4x + 1)+ (4x + 1)4 (4x + 1)*…

A: y=-2(4x+1)3

Q: Suppose that the first derivative of f(x) = x² In x is approximated by the following formula f'(x) ≈…

A:

Q: Fin the second derivative of the fo!lowing functio 1. y = (x²+x+1)? 2. y = x (2x+1)' 3. y = V2a

A: (1) Consider the provided function, y=x2+x+12 Find the second derivative of the above function. Now,…

Q: у 3 2Таn(0.5х) — х II

A:

Q: 3. Find the second derivative of f(x) = 2sin²(3x) а. 36сos? (3x) — 36sin? (3x) b. 36сos (3x) —…

A:

Q: Find the indicated derivative.dp/dqfor p =q2 + 2/4q-2

A: Given a function in p in terms of q as shown below. We need to compute dp/dq.Here we use (u/v) rule…

Q: 1. Find the derivative of the following. f(x)=13x* –7x³+5x²+11x+75 b. S(x)-(x*+2x*+4)(x"-3) 3x -6x+7…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 3 Suppose 8 (x): 2(1- 5x)3 .What is the correct result of the derivative of g with respect to x? 45…

A:

Q: Suppose 8 (x) 1+ x. What is the correct result of the derivative of g with respect to ? A 8'(x)=…

A:

Q: What is the anti-derivative of q(x) = 2e+5 3x 3 ? (Do not include the constant C in your answer.)

A:

Q: A point moves along the curve y = x ^ 3−3x + 5 so that x = 1/2√t + 3, where t is time. At what rate…

A: Given- y=x3-3x+5 and x=12t+3 To find- The rate of changing when t=4. Concept Used- dydt=dydx·dxdt

Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

Q: 2 The linear approximation for the function f(x) = be used to estimate f(0.01). Which of the…

A:

Q: What is the derivative of 5.22 + 10x + 15 (A) 10x + 10+ 5 10x + 10 + 3x2 (в C None of the given…

A: 5x2+10x+5x3

Q: Q1) The dervative of the function f(x)= |x+2 using the definition of derivative is

A:

Q: 1. Use the definition of derivative to find f'(1) 2r2 b) f(x) = Vx

A: Derivative of the function using definition

Q: Find the second derivative of each item. 1. y = x° + 3x2+ 4x 1 2. y = 3. y = /(4 – x2) 4x 4. y = x +…

A:

Q: 8.What is the derivative with respect to a of f(x) = (5 – x2)²? оА. (5 — а?) (5 — а*) O B. 2(5 – a?)…

A:

Q: Evaluate the second derivative of e22.1.png ... acos(byx) f(x) x2 if a = 165 and b = 0.3 at x = 3…

A: Follow step 2nd and 3rd.

Q: a.) Given f(x) = 2x + 4, what is the value of f'(1)? b.) What is the derivative of f(x) = 4x + 5?

A: a) f(x)=2x+4b) f(x)=4x+5

Q: Find the differential of the function. u = 3x4 + 4

A: The given function u=3x4+4

Q: Evaluate the second derivative of e22.1.png acos(b/x) f(x) = x2 if a = 149 and b = 0.3 at x = 3…

A:

Q: Find the derivative. y= e at O 4(1/4)x -4(5/4)x In 4 4(3/4)x In 4 4(5/4)x 25 n4 16

A:

Q: Suppose a rubber ball, when dropped from a given height, returns to a fraction p of that height. In…

A: