Determine the derivative of the function defined by h(x,y) = Arctan (2) + V3Arcsin () at the point P,(1.1) in the direction of - 3i-2).

Q: Find the direction derivative of f(x.y.z)-xy'z at the point p(3,2,1)in the direction towards…

A: To find the directional derivatives

Q: Compute the derivative of the function f(r) = cos(x) by the difference quotient definition.

A: The given function is fx=cosx.

Q: Find the derivative of the function at P, in the direction of g(x,y) = x - (v² /x)+ /3 sec*(2xy),…

A: Given that  g(x,y)=x-y^2/x+√3arcsecx(2xy) P(1,1) A=12i+5j To find the directional derivative of g at…

Q: Assume that w = f(s3 + t?) and f'(x) = ex. Find dw dw and at ds dw at dw

A:

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

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: Finf the equation of the tangent line to (cos(x)ex10x)/(Sec2(5x)+1)+11 at the point (0,11)

A: Given,           The equation of the tangent line to (cos(x)ex10x)(sec2(5x)+1)+11  at the point…

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

A:

Q: Let f (z) = (11z+ 10) (i – z). What is the real part of the derivative f' (1 + i)?

A:

Q: Calculate the derivative at the point (0,0) of the function given by the equation x=y−2siny.

A: We differentiate both sides with respect to x

Q: Find the derivative of the function f(x y) = tan-1Y at the point (5, -5) in the direction in which…

A:

Q: Use implicit differentiation to find at the point (-2,3) on the curve a + y° = 19.

A: Implicit differentiation

Q: Let f (z) = (7z + 9) (i – z). What is the real part of the derivative f' (1+ i)?

A:

Q: Let f (2) = (4z + 3) (i – 2). What is the real part of the derivative f' (1+ i)?

A: A complex-valued function consists of two parts. The part without i is referred to as the real part.…

Q: Find the equation of the line tangent to the curve y=x+cosx at the point (0,1)

A: Given, curve and point

Q: find derivative of this curve 3x2/y −5y=2(x+8)

A:

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

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