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Popular >

derivative of sin^2(bx+x^2+1)

Solution

\frac{d}{d x} (sin^{2} (b x) + x^{2} + 1)

Solution

2 x + b sin (2 b x)

Solution steps

\frac{d}{d x} (sin^{2} (b x) + x^{2} + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin^{2} (b x)) + \frac{d}{d x} (x^{2}) + \frac{d}{d x} (1)

\frac{d}{d x} (sin^{2} (b x)) = b sin (2 b x)

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

\frac{d}{d x} (1) = 0

= b sin (2 b x) + 2 x + 0

Simplify

= 2 x + b sin (2 b x)

Graph

Popular Examples

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integral of-5x^4e^{x^5}

\int - 5 x^{4} e^{x^{5}} d x

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\int \frac{16}{y} d y

derivative of f(x)= x/(32)(sqrt(x)+\sqrt[3]{x})derivative of

f (x) = \frac{x}{32} (x + 3 x)

Frequently Asked Questions (FAQ)

What is the derivative of sin^2(bx+x^2+1) ?
The derivative of sin^2(bx+x^2+1) is 2x+bsin(2bx)
What is the first derivative of sin^2(bx+x^2+1) ?
The first derivative of sin^2(bx+x^2+1) is 2x+bsin(2bx)