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Popular >

derivative of sin^{54}(x)+tan^{37}(x)

Solution

derivative of

sin^{54} (x) + tan^{37} (x)

Solution

54 sin^{53} (x) cos (x) + 37 tan^{36} (x) sec^{2} (x)

Solution steps

\frac{d}{d x} (sin^{54} (x) + tan^{37} (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin^{54} (x)) + \frac{d}{d x} (tan^{37} (x))

\frac{d}{d x} (sin^{54} (x)) = 54 sin^{53} (x) cos (x)

\frac{d}{d x} (tan^{37} (x)) = 37 tan^{36} (x) sec^{2} (x)

= 54 sin^{53} (x) cos (x) + 37 tan^{36} (x) sec^{2} (x)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of sin^{54}(x)+tan^{37}(x) ?
The derivative of sin^{54}(x)+tan^{37}(x) is 54sin^{53}(x)cos(x)+37tan^{36}(x)sec^2(x)
What is the first derivative of sin^{54}(x)+tan^{37}(x) ?
The first derivative of sin^{54}(x)+tan^{37}(x) is 54sin^{53}(x)cos(x)+37tan^{36}(x)sec^2(x)