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Popular >

derivative of 1+7sin(x-tan(x))

Solution

\frac{d}{d x} (1 + 7 sin (x) - tan (x))

Solution

7 cos (x) - sec^{2} (x)

Solution steps

\frac{d}{d x} (1 + 7 sin (x) - tan (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) + \frac{d}{d x} (7 sin (x)) - \frac{d}{d x} (tan (x))

\frac{d}{d x} (1) = 0

\frac{d}{d x} (7 sin (x)) = 7 cos (x)

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= 0 + 7 cos (x) - sec^{2} (x)

Simplify

= 7 cos (x) - sec^{2} (x)

Popular Examples

y(1+x^2)y^'-x(2+y^2)=0

y (1 + x^{2}) y^{^{'}} - x (2 + y^{2}) = 0

tangent of f(x)=-8x^2+10,(0.5,8)tangent of

f (x) = - 8 x^{2} + 10, (0.5, 8)

derivative of (x^2-9^{1/2})

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

sum from n=1 to infinity of (-2/3)^n

n = 1 \sum \infty (- \frac{2}{3})^{n}

derivative of ln(sec(2x))

\frac{d}{d x} (ln (sec (2 x)))

Frequently Asked Questions (FAQ)

What is the derivative of 1+7sin(x-tan(x)) ?
The derivative of 1+7sin(x-tan(x)) is 7cos(x)-sec^2(x)
What is the first derivative of 1+7sin(x-tan(x)) ?
The first derivative of 1+7sin(x-tan(x)) is 7cos(x)-sec^2(x)