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3 years ago

Find dy/dx given that y = sin(cos(x))

Mathematics

1 answer:

bazaltina [42]3 years ago

5 0

Hi there!

$\large\boxed{-sin(x)cos(cos(x))}$

Use the chain rule:

f(g(x)) = f'(g(x)) · g'(x)

Thus:

dy/dx sin(x) = cos(x)

dy/dx cos(x) = -sin(x)

Use the chain rule format:

f(x) = sin(x)

g(x) = cos(x)

cos(cos(x)) · (-sin(x))

-sin(x)cos(cos(x))

You might be interested in

Which angle measures are correct? Select three options,

zhenek [66]

Answer:

m∠W = 125°

m∠X = 55°

m∠Z = 55°

Step-by-step explanation:

The explanation of angle measures is shown below:-

The shape which is parallelogram WXYZ. m∠Y = 125

A parallelogram represents the shape of quadrilateral in which both opposite sides and opposite angles are similar to each other. One parallelogram diagonals bisect each other. Consecutive angles are also supplementary to a parallelogram.

In WXYZ parallelogram is there

m∠Z + m∠Y = 180° is an angle of Consecutive in a parallelogram is supplementary

m ∠ Z + 125 = 180

m ∠ Z = 180 - 125

m ∠ Z = 55°

m ∠ W which equals to m∠Y where equal angles are Opposite

m∠W = 125°

m ∠ W + m ∠ X = 180°

which is the angle of Consecutive in a parallelogram called supplementary)

m ∠ X + 125 = 180

m ∠ X = 180 - 125

After solving the above equation we will get

m ∠ X = 55°

8 0

3 years ago

Please helppp My teachers isnt helping

Darina [25.2K]

anything raised to the power of 0 is 1

5 0

3 years ago

Read 2 more answers

A=2b^3-1 what's the value of b if a is 13

skelet666 [1.2K]

$\sf~A=2b^3-1$

Plug in A = 13

$\sf~13=2b^3-1$

Add 1 to both sides:

$\sf~14=2b^3$

Divide 2 to both sides:

$\sf~7=b^3$

Find the cube root of both sides:

$\sf~b=\sqrt[3]{7}$

$\sf~b\approx~1.91$