3n If the normal to the curve y = f(x) at the point (3,4) makes an angle with the positive x-axis, 4 what is the value of f'(3)?

Q: Find the domain and range for f(x, y) = y² /x³ – y.

A: The given function is: f(x,y)=y2x3-y Now, the function is defined for all y but if  x3-y≥0⇒x3≥y⇒x≥y3…

Q: Let 4 a) Given that In (y) can be written in the form In (v) = In (A) =³ + In (B) =² + In (C) z+ In…

A: The given exponetial function is: y=4x2-4x ·5x3-5x2·72x+3 Now, taking the log on both sides.…

Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x=axis ?

A:

Q: Find the slope of the curve y = tan-!x at a1, b without calcu- 4 lating the derivative of tan-x.

A: Given y=tan-1x

Q: Find the slope of the tangent line to the graph r=2sin(0) at the point V3, 3 11.

A: We have to find

Q: Find the first and second derivative if w = 3z-2-(1/z)

A:

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 the equation of the tangent line to the curve 2 2 1= V sinx+x² at the point %3D (IT,"),

A: SOLUTION-

Q: Find the derivative, A. C. 3x 6x² +2 (1-3x2)2 dx' of y = B. D. 2x 1-3x² 12x (1 - 3x²)² 2x 3(1-3x²)²

A: