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Popular >

derivative of f(x)=11x^3tan(x)

Solution

derivative of

f (x) = 11 x^{3} tan (x)

Solution

11 (3 x^{2} tan (x) + sec^{2} (x) x^{3})

Solution steps

\frac{d}{d x} (11 x^{3} tan (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 11 \frac{d}{d x} (x^{3} tan (x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{3}, g = tan (x)

= 11 (\frac{d}{d x} (x^{3}) tan (x) + \frac{d}{d x} (tan (x)) x^{3})

\frac{d}{d x} (x^{3}) = 3 x^{2}

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

= 11 (3 x^{2} tan (x) + sec^{2} (x) x^{3})

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\int \frac{1}{y ^{2} - y} d y

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\frac{\partial}{\partial x} (x y e^{x + y})

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x \to 1 lim (\frac{x ^{2} + 7 x}{x})

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=11x^3tan(x) ?
The derivative of f(x)=11x^3tan(x) is 11(3x^2tan(x)+sec^2(x)x^3)
What is the first derivative of f(x)=11x^3tan(x) ?
The first derivative of f(x)=11x^3tan(x) is 11(3x^2tan(x)+sec^2(x)x^3)