Find the partial derivative of the function g(r,0) = r cos 0 + r sin 0.

Q: Find the derivatives of the function x=a (cos t + sin t ) ,y=a(sin t -t cos t

A: To find the derivatives of the function

Q: b)Find the derivative of the function by using the derivative definition? ds if s dt 2t + 1

A:

Q: Find the derivative of f(w)= sin(4w²)+cos(4w²). A) Swcos(4w°)–8wsin(4w²) B) -8wcos(4w?)+8wsin(4w²)…

A: Given function is  f(w)=sin(4w2)+cos(4w2)Derivative of f with respect to w:f'(w)=…

Q: What is the directional derivative of the function f(x.y)-2xy-3y at point p.- (5,5) in the direction…

A: To find: The directional derivative of the function f(x,y)=2xy-3y2 at point P=(5,5) in the direction…

Q: Consider the function: f (x,y) = 2x² - 4x - xy² + 2y² - 3. Explain how you would find the first &…

A: We have given function f(x,y) = 2x2-4x-xy2+2y2-3  We have to find the first & second-order…

Q: w. Determine the fourth derivative of f (w) = 7sin() + cos (1 – 2w)

A:

Q: Find the direction derivative of f(x.y,z)-xy'z at the point p(3.2,1)in the direction towards…

A: given function, f(x,y,z) = xy2z3 first we need to find the gradient(∇f) of this function at point…

Q: Find the directional derivative of J(, 9) + 3y at the point (2, the direction 57 radians.

A:

Q: f(x, y, z) = x + tan(yz) exyz + 1

A:

Q: 1 log3(r – y)*

A: Given; fx,y=1log3x-y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = 4xy – 4y“, Po(-2, - 8), A…

A:

Q: b)Find the derivative of the function x cos (2x + 3y) = y sin x

A:

Q: est value of the function 1.1) is

A:

Q: Find the derivative of the function at Poin the direction of A g(x, y) = x – (y²/x) + V3 sec (2ry),…

A: The solution is given as

Q: Find the derivative of the function f(z) = 3z² +7z at I = a.

A: Given,            f(x) =3x2 + 7x  and x=a