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Popular >

derivative of 7^x+7cos((7x/2))

Solution

\frac{d}{d x} (7^{x} + 7 cos (\frac{7 x}{2}))

Solution

7^{x} ln (7) - \frac{49}{2} sin (\frac{7 x}{2})

Solution steps

\frac{d}{d x} (7^{x} + 7 cos (\frac{7 x}{2}))

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (7^{x}) = 7^{x} ln (7)

\frac{d}{d x} (7 cos (\frac{7 x}{2})) = - \frac{49}{2} sin (\frac{7 x}{2})

= 7^{x} ln (7) - \frac{49}{2} sin (\frac{7 x}{2})

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Frequently Asked Questions (FAQ)

What is the derivative of 7^x+7cos((7x/2)) ?
The derivative of 7^x+7cos((7x/2)) is 7^xln(7)-49/2 sin((7x)/2)
What is the first derivative of 7^x+7cos((7x/2)) ?
The first derivative of 7^x+7cos((7x/2)) is 7^xln(7)-49/2 sin((7x)/2)