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Popular >

derivative of y=sec(x)-6cos(x)

Solution

derivative of

y = sec (x) - 6 cos (x)

Solution

sec (x) tan (x) + 6 sin (x)

Solution steps

\frac{d}{d x} (sec (x) - 6 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sec (x)) - \frac{d}{d x} (6 cos (x))

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

\frac{d}{d x} (6 cos (x)) = - 6 sin (x)

= sec (x) tan (x) - (- 6 sin (x))

Simplify

= sec (x) tan (x) + 6 sin (x)

Popular Examples

derivative of y=x^8+7x^6-5x+4 derivative of

y = x^{8} + 7 x^{6} - 5 x + 4

derivative of sin^2(x-1)

\frac{d}{d x} (sin^{2} (x - 1))

integral of (2x^2-1)(2x^3-3x+9)^{1/3}

\int (2 x^{2} - 1) (2 x^{3} - 3 x + 9)^{\frac{1}{3}} d x

((x^2))/(y^2-5)y^'= 1/(2y)

\frac{( x ^{2} )}{y ^{2} - 5} y^{^{'}} = \frac{1}{2 y}

integral from 6 to 7 of t^2

\int_{6}^{7} t^{2} d t

Frequently Asked Questions (FAQ)

What is the derivative of y=sec(x)-6cos(x) ?
The derivative of y=sec(x)-6cos(x) is sec(x)tan(x)+6sin(x)
What is the first derivative of y=sec(x)-6cos(x) ?
The first derivative of y=sec(x)-6cos(x) is sec(x)tan(x)+6sin(x)