Suppose a and b are real numbers. Consider the function: a) deduct numbers a and b that make f ' (1) exist, that is, the derivative of f in point x(0) = 1.

Q: U₁₂ 4; 6; -3 3 2 u = x 2² - sin (x²-sy) + / ln (x²452) 2

A:

Q: f(x, y) = ln(-6x – 4y), (5,6), A=6i + 8j 14 17 A) 135 135 B) C)/17 D) 11 135

A: Duf=∇f·uu

Q: Define the second derivative of f. If f(t) is the position  function of a particle, how can you…

A: Second derivative is derivative of the derivative.      Therefore,…

Q: The derivative of the function - is equal to e Select one: a. a(2º In 2 + 1) b. e" (2ª In 2) c. e"…

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Q: f(x) = 8 f(x) — тх + b f(x) 3 54 + 20х

A: We have to find derivative

Q: Let f(x) = r - 3z2 - 1. Calculate the derivative

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Q: Find the first and second derivatives of the functions

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine the anti derivative of the function.

A: Given Data: Function: fx=2x35+10x5-74x Similified the given function f(x).…

Q: sin 0 r (0) = log„(ršin ® – sin" 0)

A: We know that, from the derivative formulas ddxax=axloga       ⋯⋯1ddxlogx=1x…

Q: -1 8y ¹ ($) ₁ f(x, y) = tan¯ (Duf) p = ху + 5 sin¯¹ (XY), P = (64, 8), u = 7i+6j 1024

A: Given: f(x,y)= tan-1(8y/x)+ 5Sin-1(xy/1024) Point P(64,8) Vector u= 7i+6j

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: S:R R, f(x) =a", (a > 0, + 1)

A: