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Popular >

derivative of y= 7/x+6sec(x)

Solution

derivative of

y = \frac{7}{x} + 6 sec (x)

Solution

- \frac{7}{x ^{2}} + 6 sec (x) tan (x)

Solution steps

\frac{d}{d x} (\frac{7}{x} + 6 sec (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{7}{x}) + \frac{d}{d x} (6 sec (x))

\frac{d}{d x} (\frac{7}{x}) = - \frac{7}{x ^{2}}

\frac{d}{d x} (6 sec (x)) = 6 sec (x) tan (x)

= - \frac{7}{x ^{2}} + 6 sec (x) tan (x)

Graph

Popular Examples

(\partial)/(\partial y)((3x)/((x+y)^4))

\frac{\partial}{\partial y} (\frac{3 x}{( x + y ) ^{4}})

integral of 3x^2-3

\int 3 x^{2} - 3 d x

f^'(x)=3e^x+7sec^2(x)

f^{^{'}} (x) = 3 e^{x} + 7 sec^{2} (x)

2y^{''}+y^'-y=x+5

2 y^{^{''}} + y^{^{'}} - y = x + 5

(x+y)^2dx+(2xy+x^2-8)dy=0,y(1)=1

(x + y)^{2} d x + (2 x y + x^{2} - 8) d y = 0, y (1) = 1

Frequently Asked Questions (FAQ)

What is the derivative of y= 7/x+6sec(x) ?
The derivative of y= 7/x+6sec(x) is -7/(x^2)+6sec(x)tan(x)
What is the first derivative of y= 7/x+6sec(x) ?
The first derivative of y= 7/x+6sec(x) is -7/(x^2)+6sec(x)tan(x)