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Popular >

derivative of tan(e^t)+e^{tan(t)}

Solution

derivative of

tan (e^{t}) + e^{t a n (t)}

Solution

sec^{2} (e^{t}) e^{t} + e^{t a n (t)} sec^{2} (t)

Solution steps

\frac{d}{d t} (tan (e^{t}) + e^{t a n (t)})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (tan (e^{t})) + \frac{d}{d t} (e^{t a n (t)})

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

\frac{d}{d t} (e^{t a n (t)}) = e^{t a n (t)} sec^{2} (t)

= sec^{2} (e^{t}) e^{t} + e^{t a n (t)} sec^{2} (t)

Graph

Popular Examples

integral from 0 to 4 of 4/(x^2-16)

\int_{0}^{4} \frac{4}{x ^{2} - 16} d x

integral from 0 to 2 of x^3sqrt(x+2)

\int_{0}^{2} x^{3} x + 2 d x

integral of (5x^2-6)/(x^2-2x-48)

\int \frac{5 x ^{2} - 6}{x ^{2} - 2 x - 48} d x

d/(dt)(12t^2sin(t))

\frac{d}{d t} (12 t^{2} sin (t))

derivative of y=3sqrt(a-b^2)x^4 derivative of

y = 3 a - b^{2} x^{4}

Frequently Asked Questions (FAQ)

What is the derivative of tan(e^t)+e^{tan(t)} ?
The derivative of tan(e^t)+e^{tan(t)} is sec^2(e^t)e^t+e^{tan(t)}sec^2(t)
What is the first derivative of tan(e^t)+e^{tan(t)} ?
The first derivative of tan(e^t)+e^{tan(t)} is sec^2(e^t)e^t+e^{tan(t)}sec^2(t)