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Popular >

derivative of sin^5(4x+1)

Solution

\frac{d}{d x} (sin^{5} (4 x + 1))

Solution

20 sin^{4} (4 x + 1) cos (4 x + 1)

Solution steps

\frac{d}{d x} (sin^{5} (4 x + 1))

Apply the chain rule:

5 (sin (4 x + 1))^{4} \frac{d}{d x} (sin (4 x + 1))

= 5 (sin (4 x + 1))^{4} \frac{d}{d x} (sin (4 x + 1))

\frac{d}{d x} (sin (4 x + 1)) = cos (4 x + 1) \cdot 4

= 5 (sin (4 x + 1))^{4} cos (4 x + 1) \cdot 4

Simplify

= 20 sin^{4} (4 x + 1) cos (4 x + 1)

Popular Examples

y^'*(x^2+2)+4x(y^2+2y+1)=0

y^{^{'}} \cdot (x^{2} + 2) + 4 x (y^{2} + 2 y + 1) = 0

integral of (19)/(x^3-125)

\int \frac{19}{x ^{3} - 125} d x

(\partial)/(\partial x)(3)

\frac{\partial}{\partial x} (3)

derivative of f(x)=-12x^{3/2}+7x^{1.7}+x derivative of

f (x) = - 12 x^{\frac{3}{2}} + 7 x^{1.7} + x

integral of (t^3)/(t^4+1)

\int \frac{t ^{3}}{t ^{4} + 1} d t

Frequently Asked Questions (FAQ)

What is the derivative of sin^5(4x+1) ?
The derivative of sin^5(4x+1) is 20sin^4(4x+1)cos(4x+1)
What is the first derivative of sin^5(4x+1) ?
The first derivative of sin^5(4x+1) is 20sin^4(4x+1)cos(4x+1)