Question

if y=tan-1(6x-7/6x+7x) then dy/dx=​

Answer 1

Answer:

Given

y=tan

−1

(

a

2

−6x

2

5ax

)

or, y=tan

−1

⎝

⎜

⎜

⎛

1−

a

2

6x

2

a

5x

⎠

⎟

⎟

⎞

[ Dividing the numerator and the denominator by a

2

we get,]

or, y=tan

−1

⎝

⎜

⎜

⎛

1−

a

3x

.

a

2x

a

3x

+

a

2x

⎠

⎟

⎟

⎞

or, y=tan

−1

a

3x

+tan

−1

a

2x

Now differentiating both sides with respect to x we get,

dx

dy

=

a

2

+9x

2

a

2

.

a

3

+

a

2

+4x

2

a

2

.

a

2

or,

dx

dy

=

a

2

+9x

2

3a

+

a

2

+4x

2

2a

Step-by-step explanation:

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Answer 2

Answer:

2a

Step-by-step explanation:

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