Find the derivative of y=sin2(5x) with respect...
Find the derivative of y=sin2(5x) with respect to x.
10 sin 5x cos 5x
5 sin5x cos 5x
2 sin 5x cos 5x
15 sin 5x cos 5x
Correct answer is A
y=sin2(5x)
Let u = sin 5x
dudx=5cos5x
∴
\frac{\mathrm d y}{\mathrm d u} = 2u
\frac{\mathrm d y}{\mathrm d x} = 2u . 5 \cos 5x
= 10u \cos 5x
= 10 \sin 5x \cos 5x
If \sin x = \frac{4}{5}, find \frac{1 + \cot^2 x}{\csc^2 x - 1}....
A baker used 40% of a 50kg bag of flour. If \frac{1}{8} of the amount used was for the cake, how...
If sin 30° = 0.5, what is the cosine of its complement?...
Simplify \frac{20}{5\sqrt{28} - 2 \sqrt{63}}...
Solve: - \frac{1}{4} < \frac{3}{4} (3x - 2) < \frac{1}{2}...
If events X and Y are mutually exclusive, . P(X) = 1/3 and P(Y) = 2/5, P(X∩Y) is ...
Find the least value of x which satisfies the equation 4x = 7(mod 9) ...
A binary operation \otimes is defined by m \otimes n = mn + m - n on the set of real nu...