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Popular >

derivative of f^'(3)-3/(8(x+4)^4)

Solution

derivative of

f^{^{'}} (3) - \frac{3}{8 ( x + 4 ) ^{4}}

Solution

f'' (3) + \frac{3}{2 ( x + 4 ) ^{5}}

Solution steps

(f^{'} (3) - \frac{3}{8 ( x + 4 ) ^{4}})^{'}

Apply the Sum/Difference Rule:

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

= (f^{^{'}} (3))^{^{'}} - (\frac{3}{8 ( x + 4 ) ^{4}})^{^{'}}

(\frac{3}{8 ( x + 4 ) ^{4}})^{'} = - \frac{3}{2 ( x + 4 ) ^{5}}

= f^{^{''}} (3) - (- \frac{3}{2 ( x + 4 ) ^{5}})

Simplify

= f^{^{''}} (3) + \frac{3}{2 ( x + 4 ) ^{5}}

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Frequently Asked Questions (FAQ)

What is the derivative of f^'(3)-3/(8(x+4)^4) ?
The derivative of f^'(3)-3/(8(x+4)^4) is f''(3)+3/(2(x+4)^5)
What is the first derivative of f^'(3)-3/(8(x+4)^4) ?
The first derivative of f^'(3)-3/(8(x+4)^4) is f''(3)+3/(2(x+4)^5)