Derivatives of Composite and Implicit Functions

IMPORTANT

Derivatives of Composite and Implicit Functions: Overview

This Topic covers sub-topics such as Differentiation of Implicit Functions, Derivative of Inverse Function, Differentiation of Inverse Trigonometric Functions and, Differentiation by Substitution

Important Questions on Derivatives of Composite and Implicit Functions

HARD
IMPORTANT

If  y=cos13x+41x25, then   dy dx is:

MEDIUM
IMPORTANT

If   siny=xsin(a+y),  find   dy dx

HARD
IMPORTANT

If   y= tan 1 [ 1+ x 2 1 x 2 1+ x 2 + 1 x 2 ],  what would be dydx

MEDIUM
IMPORTANT

Differentiate the following w.r.t x:

cos-11+x2

MEDIUM
IMPORTANT

The derivative of the function cos11+x2 is

HARD
IMPORTANT

Differentiate tan-11-sin4x1+sin4x w.r.t x.

MEDIUM
IMPORTANT

Find dydx, if x5.y7=x+y12

MEDIUM
IMPORTANT

Find dydx, if yex+xey=1

MEDIUM
IMPORTANT

Find dydx, if x2y2=tan-1x2+y2+cot-1x2+y2

MEDIUM
IMPORTANT

Find dydx, if cosxy=x+y

HARD
IMPORTANT

Differentiate the following function w.r.t.xtan-15-x6x2-5x-3.

EASY
IMPORTANT

Find dydx, if x3+x2y+xy2+y3=81

HARD
IMPORTANT

Differentiate the following function w.r.t.xtan-1acosx-bsinxbcosx+asinx.

HARD
IMPORTANT

Differentiate the following function w.r.t. xtan-17x1-12x2.

HARD
IMPORTANT

Differentiate the following function w.r.t. xtan-15axa2-6x2.