Find the derivative of the function f(x,y) =x² + xy +y at the point (-6, - 5) in the direction in which the function increases most rapidly. A. V659 B. 545 C. V653 O D. 3/62

Q: 2. R(z) = = -5/3 – 4z³/ - N Hint: Simplify.

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Q: Find the derivative of the function. u4 + 9Vu f(u) = 9-u11 +17. 64 – 27. 1u -11. u – 6 eT + u2 F(u)…

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Q: Evaluate the derivative of the given function for the given value of x. y = 8x + 8 , x= 8 OA. V72…

A: Given function is Differentiating with respect to x by using chain rule of differentiation, we get…

Q: B. Find the derivative of the function. 1. y = 3 2. f(x) = x + 1 3. f(t) = -2t + 3t- 6 4. f(x) = x?…

A: Since you have posted question with multiple subparts, here is the solution for the first three…

Q: Find the second derivative, Select the correct answer below: d² 9x² dx² y³ d²y 7.3 dx² 3y³ d²y dx²…

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Q: Find the derivative of the function y defined implicitly in terms of x. 7xy³ + 2x³y: 2x³y = 1 dy dx…

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Q: d (e6) = 6• e5 dx Choose the correct answer below. d (x^) = nx"-1, dx O A. True. The Power Rule…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the derivative of y with respect to x. y= tan 2x 3 9 OA. 4x²+9 毒 6 О в. 4x²+ +9 -6 ○ C. 4x²+9 2…

A: y=tan−1(32x​)We can find the derivative of the function using the chain rule. The chain rule states…

Q: Find the derivative of the function. y = ek tan(V 5x) y'(x)

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Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: cosh3x2y-lnexy+1=0 Differentiate both sides sinh(3x2y)·32xy+x2dydx-exyxdydx+yexy+1=0Isolate dydx⇒…

Q: Find the derivative of the function. f(t)= 1/2(7t2+ t)-3

A: we need to find the derivative.

Q: Exercise, find the higher-order derivative. Given Derivative s(x) = 3x2 + 7x + 1 %3D

A: Introduction :

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given functions are: y=a2-t2x=42t2+a In order to calculate d2ydx2, firstly we will calculate d2ydt2…

Q: Find the derivative of the function.

A: Some important derivative formulas: 1. d(lnx)/dx = 1/x 2. d(√x)/dx = 1/(2√x) 3. d[N/D]/dx = [D*(N)'…

Q: Find the derivative of the function. 3-t z= 9+1? Choose the correct answer below. 2- 6t-9 O A. z'=…

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Q: Exact ODE y'=-4/x; y(2)=3

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Q: Find the derivative of function.

A: Use the product rule to find the derivative for s. s=t2lntdsdt=ddtt2×lnt+t2×ddtlnt

Q: Suppose that y is a function of x. Find y' if 2xy - = 2y + 5.

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Use the quotient rule to find the derivative. x² + 8x +3 y= √x OA. dy 2x+8 dx X B. O C. dy dx dy dx…

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Q: 2. Find the derivative of the functions, a. y = 5x+9.r + 12.r2-7r

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Q: 5. Calculate the second order derivatives and for the following: ay 3-

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Q: Direction: Find the equation of the tangent line to the function at x=a. 3. y = V5x + 4 at x= 1 4. y…

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Q: Calculate the derivative of the function. Then find the value of the derivative as specified. ifs =…

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